PUBLICATIONS 

2. Singular boundary resonance and turning point resonance, (with F.B.Hanson), SIAM J. Appl. Math., 46 (1986), 962-977.

3. Singular and turning point resonance: Small perturbations- big effects, (with F.B.Hanson), Appl. Math.Letters, 1 (1988), 137-140.

4. Two turning points of second order, SIAM J. Appl. Math., 50 (1988), 883-892.

5. A modified third order Runge-Kutta method, Appl. Math.Letters, 3 (1990), 123-125.

6. Moments of extinction for a singular perturbation problem in the diffusion process, (with F. B. Hanson), SIAM J. Appl. Math., 51 (1991), 233-265.

7. On the asymptotic solutions of a differential equation with multiple singular points, Journal of Computational and Applied Mathematics, 34 (1991), 65-74.

8. Modified numerical methods based on arithmetic and geometric means, Appl. Math.Letters, 4 (1991), 49-52.

9. Asymptotic solutions of an eigenvalue problem with several second turning points, IMA J. of Appl. Math., 48 (1992), 39-51.

10. Sequences of series, Appl. Math. Letters, 5 (1992), 39-43.

11. Resonance and asymptotic solutions of a singular perturbation problem, IMA J. of Appl. Math., 49 (1992), 231-244.

12. A Comparison of Modified Runge-Kutta Methods Based on a Variety of Means, Intern. J. Computer Math., 50 (1994), 105-112.

13. On the Numerical solution of the Goursat Problem, Applied Mathematics and Computation, 59 (1993), 89-95.

14. On the Numerical solution of y' = f(x,y) by a class of nonlinear trapezoidal formulas, Intern. J. Computer Math., 51 (1994), 229-238.

15. The Decomposition Method for Approximate solution to the Goursat Problem, Applied Mathematics and Computation, 69 (1995), 299-311.

16. A new approach to the nonlinear advection problem: An application of the decomposition method, Applied Mathematics and Computation, 72 (1995), 175-181.

17. Two methods for solving integral equations, (with S. Khuri), Applied Mathematics and Computation, 77 (1996), 79-89.

18. On the solution of the fourth order parabolic equation by the decomposition method, Intern. J. Computer Math.,(1995),57, 213-217.

19. The solution of a partial differential equation arising in fluid flow theory, (with S. Khuri), Applied Mathematics and Computation, 77 (1996), 295-300.

20. A reliable technique for solving the weakly-singular second-kind Volterra-type integral equations, (with S. Khuri), Applied Mathematics and Computation, 80 (1996), 287-299.

21. The decomposition method for solving a second Fredholm second kind integral equation with a logarithmic kernel, (with S. Khuri), Intern. J.Computer Math. 61, (1996), 103-110 .

22. Necessary conditions for the appearance of noise terms in decomposition solution series, Applied Mathematics and Computation, 81, (1997), 265 - 274.

23. On the solution of a partial differential equation arising in Stokes flow, (with S. Khuri), Applied Mathematics and Computation, 85 (1997), 139 - 147.

24. A study on a boundary-layer equation arising in an incompressible fluid, Applied Mathematics and Computation, 87 (1997), 199 - 204.

25. A study on complex integrals involving absolute values, Applied Mathematics and Computation, 85,(1997), 281 - 286 .

26. Equality of partial solutions in the decomposition method for partial differential equations, Intern. J. Computer Math., 65 (1997), 293 - 308.

27. New ideas for solving size-structured population models, (with S. Khuri), Applied Mathematics and Computation, 93, (1998), 91-96.

28. A reliable technique for solving the wave equation in an infinite one-dimensional medium, Applied Mathematics and Computation, 92 (1998), 1 - 7.

29. A comparison between the Adomian decomposition method and the Taylor series method in the series solutions, Applied Mathematics and Computation, 97(1998), 37 - 44.

30. A comparative study on a singular perturbation problem with two singular boundary points, Applied Mathematics and Computation, 99 (1999), 179-193.

31. Analytical approximations and Pade' approximants for Volterra's population model, Applied Mathematics and Computation, 100 (1999), 13-25.

32. A reliable modification of the Adomian decomposition method, Applied Mathematics and Computation, 102 (1999), 77-86.

33. The modified decomposition method and the Pade' approximants for solving Thomas-Fermi equation, Mathematics and Computation, 105 (1999), 11 - 19.

34. A new technique for calculating Adomian polynomials for nonlinear polynomials, Applied Mathematics and Computation, 111(1)(2000),33-51.

35. The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model, Applied Mathematics and Computation 110 (2000), 251-264.

36. The modified decomposition method applied to unsteady  flow of gas through a porous medium, Applied Mathematics and Computation, 118(2/3) (2001) 123-132.

37. A new algorithm for solving differential equations of the Lane-Emden type, (1999), Applied Mathematics and Computation, 118(2/3) (2001) 287-310.

38. The numerical solution of special fourth-order boundary value problems by the modified decomposition method, International J. of Computer Mathematics, 79(3) (2002)  345-356.

39. The numerical solution of fifth-order boundary value problems by the decomposition method, (1999), Journal of Computational and Applied Mathematics, 136(1/2) (2001), 259-270.

40. The numerical solution of sixth-order boundary value problems by the modified decomposition method, Applied Mathematics and Computation, 118 (2/3) (2001) 311-325.

41. The numerical solution of eighth-order boundary value problems by the modified decomposition method, Neural, Parallel and Scientific Computations, 8(2) (2000) 133-146.

42. Approximate solutions to boundary value problems of higher-order by the modified decomposition method, Computers and Mathematics with Applications, 40 (2000) 679- 691.

43. A reliable algorithm for solving boundary value problems for higher-order integro-differential equations, (1999), Applied Mathematics and Computation, 118 (2/3) (2001) 327-342.

44. The decomposition method for higher dimensional initial boundary value problems of variable coefficients,  International Journal of Computer Mathematics, 76 (2000), 159-172.

45. The modified decomposition method for solving linear and nonlinear boundary value problems of tenth-order and twelfth order, International J. of Nonlinear Sciences and Numerical Simulation, 1 (2000) 17-24.

46. A new method for solving singular initial value problems in the second order ordinary differential equations, Applied mathematics and Computation, 28(1) (2002), 45-47.

47. Exact solutions to nonlinear diffusion equations by the decomposition method, Applied Mathematics and Computation, 123 (1) (2001) 109-122 .

48. A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation, Applied Mathematics and Computation, 123(2) (2001) 205-217.

49. Analytic treatment for variable coefficient fourth-order parabolic partial differential equations, Applied Mathematics and Computation, 123 (2) (2001) 219-227.

50. Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method, Chaos, Solitons and Fractals,  12(8) (2001) 1549-1556.

51. An analytic study on  the third-order dispersive partial differential equations, Applied Mathematics and Computation, 142 (2-3) (2002)  511-520.

52. The decomposition method for solving the diffusion equation subject to the classification of mass, International J. of Applied Mathematics (IJAM), 3(1) (2000) 53-69. 

53. A note on using Adomian decomposition method for solving boundary value problems, Foundations of Physics Letters,13(5) (2000) 493-498.

54. A new modification of Adomian decomposition method for linear and nonlinear operators, (with S. El-Sayed), Applied Mathematics and Computation, 123(3) (2001) 393-405.

55. Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions, Applied Mathematics and Computation,123 (2001) 133-140.

56. Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method, Chaos, Solitons and Fractals,  12(12) (2001) 2283-2293.

57. Solitary wave solutions for the modified KdV equation by Adomian decomposition method, International J. of Applied Mathematics (IJAM), 3(4)  (2000) 361-368.

58. A reliable treatment for mixed Volterra-Fredholm integral equations, Applied Mathematics and Computation,  127 (2002), 405-414.

59. A reliable technique for solving linear and nonlinear Schrodinger equations by Adomian decomposition method, Bulletin of the Institute of Mathematics,(29(2)  (2001),  125-134.

60. Existence and construction of compacton solutions, Chaos, Solitons and Fractals, 19(3) (2004) 463-470. 

61. A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems, Comput. Math. Applic., 41 (2001) 1237-1244.

62. New solitary-wave solutions with compact support for the nonlinear dispersive K(m,n) equations, Chaos, Solitons and Fractals, 13(20 (2002) 321-330.

63. Exact special solutions with solitary patterns for the nonlinear dispersive K(m,n) equations, Chaos, Solitons and Fractals, 13(1) (2001), 161-170.

64. A reliable algorithm for higher-dimensional diffusion equation subject to the classification of mass, International J. of Applied Mathematics, 7(3)  (2001) to 65-74.

65. Exact solutions for variable coefficient fourth-order parabolic partial differential equations in higher dimensional spaces, Applied mathematics and Computation, 130 (2/3)  (2002) 415-424 .

66. Compactons dispersive structures for variants of the K(n,n) and the KP equations, Chaos, Solitons and Fractals,  13(5) (2002) 1053-1062.

67. Compactons and solitary patterns structures for variants of the KdV and the KP equations, Applied mathematics and Computation, 139(1) (2003) 37-54.

68. Compactons structures for fifth-order KdV like equations in higher dimensions, Applied Mathematics and Computation,  130 (2/3) (2002) 425-440 .

69. Solitary patterns solutions having infinite slopes or cusps for fifth-order KdV like equations in higher dimensions, Applied mathematics and Computation, 131/1 (2002) 181-194.

70. A study of nonlinear dispersive equations with solitary-wave solutions having compact support, Mathematics and Computers in Simulation, 56 (2001) 269-276.

71. Compact and noncompact structures for variants of the KdV equation, Applied Mathematics and Computation,    132 (1)(2002) 29-45.

72. General compactons solutions for the focusing branch of the nonlinear dispersive K(n,n) equations in higher dimensional spaces, Applied Mathematics and Computation, 133(2/3) (2002), 213-227.

73. General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive K(n,n) equations in higher dimensional spaces, Applied Mathematics and Computation, 133(2/3) (2002), 229-244.

74. Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation, Applied Mathematics and Computation, 134(2/3)  (2003) , 487-500.

75. General compactons solutions  and solitary patterns solutions for modified   nonlinear dispersive equations m K(n,n)  in higher dimensional spaces, Mathematics and Computers in Simulation, 59 (2002), 519-531.

76. The effect of the order of the nonlinear dispersive equation on the compact and the noncompact solutions, Appl. Math. Comput.,  138 (2/3) (2003 )  309-319.

77. Several new exact solutions for a fast diffusion equation by the differential constraints of the linear determining equations,  Applied Mathematics and Computation, 145(2/3) (2003) 525-540.

78. Compact and noncompact structures formed by nonlinear equations with positive and negative exponents, Applied Mathematics and Computation, 146(1) (2003) 1-25.

79. Compacton solutions and nonlinear dispersion,  Applied Mathematics and Computation, 142(2-3) (2003)  495-509.

80. Compacton solutions of the Kawahara-type nonlinear dispersive equation, Applied Mathematics and Computation, 145 (1) (2003)  133-150.

81. The existence of noise terms for systems of inhomogeneous differential and integral equations, Applied Mathematics and Computation, 146 (1) (2003) 81-92.

83. A study on compacton-like solutions for the modified KdV and fifth order KdV-like equations,  Applied Mathematics and Computation, 147(2) (2004), 439-447.

84. Compacton solutions of higher order nonlinear dispersive KdV-like equations, Applied Mathematics and Computation, 147(2) (2004), 449-460.

85. Compact and noncompact structures in a class of nonlinearly dispersive equations, ( with Thiab Taha), Computers and Mathematics in Simulation, 62(1-2)  (2003), 171-189.

86. An analytic study of compactons solutions for variants of Kuramoto-Sivanshinsky equation, Applied Mathematics and Computation, 148 (2004),  571- 585. 

87. Compact structures for variants of the generalized KdV and the generalized KP equations,   Applied Mathematics and Computation, 149(1) (2004) 103-117.

88. A study on nonlinear dispersive partial differential equations of compact and non compact solutions,  Applied Mathematics and Computation, 135 (2-3) (2003) 399-409.

89. A construction of compact and noncompact solutions for nonlinear dispersive equations of even order,  Applied Mathematics and Computation, 135 (2-3) (2003) 411-424.

90. Compactons in a class of nonlinear dispersive equations, Mathematical and Computer Modelling, 37(3/4) (2003) 333-341.

91. An analytic study of compactons structures in a class of nonlinear dispersive equations,  Mathematics and Computers in Simulation, 63(1) (2003) 35-44 .

92. Exact solutions of heat-like and wave-like equations with variable coefficients (with Alice Gorguis), Applied Mathematics and Computation, 149(1) (2004) 15-29.

93. Compactons structures for specific nonlinear dispersive equations, Applied Mathematics and Computation, 150 (2) (2004) 399-407.

94. Distinct variants of the KdV equation with compact and noncompact structures, Applied Mathematics and Computation, 150 (2) (2004) 365-377.

95. Variants of the generalized KdV equation with compact and noncompact structures,  Computers and Mathematics with Applications, 47 (2004) 583-591.

96. An analytic study of Fisher's equation by using Adomian decomposition method, (with Alice Gorguis), Applied Mathematics and Computation, 154(3)  609--620 (2004).

97. Two classes of variants of the generalized KdV equations with compact and noncompact solutions, Applied Mathematics and Computation, 154(3) 835--846 (2004).

98. The tanh method for travelling wave solutions of nonlinear equations, Applied Mathematics and Computation, 154 (3) 713--723 (2004).

99. Compact and noncompact solutions for nonlinear dispersive variants of the generalized KdV equation, Applied Mathematics and Computation,  159(2) (2004)  577-588.

100. The sine-cosine method for obtaining solutions with compact and noncompact structures, Applied Mathematics and Computation,  159(2) (2004) 559-576.

101. Effect of the nonlinearity of the middle term for variants of the generalized KdV equation, Applied Mathematics and Computation,  159(2) (2004) 539-558.

102. Adomian decomposition method for a reliable treatment of the Emden-Fowler equation, Applied Mathematics and Computation,  161(2005),543-560.

103. Variants of the generalized fifth-order KdV equation with compact and noncompact structures, (with M.A.Helal), Chaos, Solitons and Fractals, 21 (2004) 579-589(2004).

104. Compactons, solitons and periodic solutions for variants of the KdV and the KP equations, Applied  Mathematics and Computation, 161(2005) 561-575.

105. Nonlinear dispersive special type of the Zakharov-Kuznetsov equation ZK(n,n) with Compact and noncompact structures, Applied mathematics and Computation, 161 (2005) 577-590.

106. A sine-cosine method for handling nonlinear wave equations, Mathematical and Computer Modelling, 40 (2004) 499-508.

107. New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations,  Chaos, Solitons and Compactons, 22(1) 249-260 (2004).

108. Nonlinear variants  of KdV and KP equations with compactons, solitons and periodic solutions, Communications in Nonlinear Science and Numerical Simulation, 10(4) (2005) 451-463.

109. Special types of the nonlinear dispersive Zakharov-Kuznetsov equation with compactons, solitons and periodic solutions, International Journal of Computer Mathematics, 81 (9) 1107-1119 (2004).

110. Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation  and its modified form, Communications in Nonlinear Science and Numerical Simulation, 10 (2005) 597- 606.

111. A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions,  Applied  Mathematics and Computation,  165 (2005) 485-501.

112.  A reliable treatment of the physical structure for the nonlinear equation K(m,n), Applied  Mathematics and Computation, 163(3) (2005) 1081-1095.

113.  New compact and noncompact solutions for two variants of a modified Camassa-Holm equation, Applied  Mathematics and Computation, 163 (3) (2005) 1165-1179.

114. Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin-Bona-mahony equation,  Communications in Nonlinear Science and Numerical Simulation, 10 (2005) 855-867.

115. Adomian decomposition method for a reliable treatment of the Bratu-type equations, Applied  Mathematics and Computation, 166(3) (2005), 652-663.

116. Analytical solution for the time-dependent Emden-Fowler type of equations by Adomian decomposition method,  Applied  Mathematics and Computation, 166(3) (2005) 638-651.

117. Generalized Boussinesq type of equations with compactons, solitons and periodic solutions,  Applied  Mathematics and Computation, 167(2) (2005), 1162-1178.

118. Variants of the Two-Dimensional Boussinesq Equations with Compactons, Solitons and periodic Solutions, Computers and Mathematics with Applications, 49 (2005) 295-301.

119. The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants,  Communications in Nonlinear Science and Numerical Simulation, 11(2) (2006) 148-160.

120. Generalized forms of the Phi-Four equation with compactons, solitons and periodic solutions, Mathematics and Computers in Simulation, Special Issue on Nonlinear waves: Computation and Theory IV, 69 (5-6) (2005)  580-588.

121. The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation, Applied  Mathematics and Computation, 167(2) (2005), 1179-1195.

122.Nonlinear variants of the improved Boussinesq equation with compact and noncompact structures, Computers and Mathematics with Applications, 49 (2005) 565-574.

123. The tanh method and the sine-cosine method for solving the KP-MEW equation, International Journal of Computer mathematics,49  (2005) 565-574.

124. The tanh method: exact solutions of the Sine-Gordon and the Sinh-Gordon equations, Applied Mathematics and Computation, 167(2)  (2005) 1196-1210.

125. The tanh and the sine-cosine methods for the complex modified KdV and the generalized KdV equations, Computers and Mathematics with Applications, 49 (2005), 1101-1112.

126. Exact solutions of compact and noncompact structures for the KP-BBM equation, Applied Mathematics and Computation, 169 (1) (2005) 700-712.

127. A variety of exact wave solutions with distinct physical structures for the Boussinesq system, Communications in Nonlinear Science and Numerical Simulation, 11(3) (2006) 376-390.

128. Compact and noncompact physical structures for the ZK-BBM equation,  Applied Mathematics and Computation, 169  (2005), 713-725.

129. The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equation, Applied Mathematics and Computation, 169  (2005), 321-338.

130. Exact and explicit travelling wave solutions for the nonlinear Drinfeld-Sokolov system,  Communications in Nonlinear Science and Numerical Simulation, 11 (3) (2006) 311-325.

131. Compact and noncompact solutions for the BBM(n,n) equation, International Journal of Applied Mathematics, 16(1), (2004), 101-110 .

132. Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations, Applied Mathematics and Computation, 169  (2005), 639-656.

133. The Camassa-Holm-KP equations with compact and noncompact travelling wave solutions, Applied Mathematics and Computation, 170  (2005), 347-360.

134. Exact solutions for the ZK-MEW equation by using the tanh and the sine-cosine methods, International Journal of Computer Mathematics, 82 (6) (2005) 699-708.

135. The tanh method for a reliable treatment of the K(n,n) and the KP(n,n) equations and its variants, Applied Mathematics and Computation,  170  (2005), 361-379..

136.  Explicit travelling wave solutions of variants of the K(n,n) and the ZK(n,n) equations with compact and noncompact structures, Applied Mathematics and Computation, 173(1)  (2006), 213-230.

137.The sine-cosine and the tanh methods: reliable tools for analytic treatment of nonlinear dispersive equations, Applied Mathematics and Computation, 173(1)  (2006), 150-164.

138. Nonlinear variants of the BBM equation with compact and noncompact physucal structures, (with M.A.Helal), Chaos, Solitons, and Fractals, 26(2005),767-776.

139.  The modified decomposition method for analytic treatment of differential equations, Applied Mathematics and Computation, 173(1)  (2006), 165-176.

140. The tanh method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations, Chaos, Solitons and Fractals, 25(1) 55-63, (2005).

141. Analytic studies on nonlinear variants of the RLW and the PHI-four equations, Communications in Nonlinear Science and Numerical Simulation, 12 (3) (2007), 314-327.

142. Travelling wave solutions for  combined and double combined sine-cosine-Gordon   equations by  the variable separated ODE method, Applied Mathematics and Computation, (2005), 177 (2006) 755-766..

143. Travelling wave solutions for the reaction-diffusion equations, International journal of Applied mathematics,  16(4) (2005) 497-507.

144.Two reliable methods for solving variants of the KdV equation with compact and noncompact structures, Chaos, Solitons and Fractals, 28(2006) 454-462.

145.Exact solutions to the double Sinh-Gordon equation by the tanh method and a variable separated ODE method, Computers and Mathematics with Applications, 50 (2005) 1685-1696.

146. Exact solutions of the generalized sine-Gordon and the generalized sinh-Gordon equations, Chaos, Solitons & Fractals, 28 (2006)  127-135.

147. The modified decomposition method for analytic treatment of non-linear integral equations and systems of non-linear integral equations, International Journal of Computer mathematics, 82(9) (2005) 1107-1115.

148. The variable separated ODE method for a reliable treatment of the Liouville equations and its variants, Communications in Nonlinear Science and Numerical Simulation, 12(4) (2006), 434-446.

149. Reliable analysis for the nonlinear Schrodinger equations with a cubic and a power law nonlinearities, Mathematical and Computer Modelling, 43 (2006),  178-184.

150.  Solitons and periodic solutions for the fifth-order KdV equation, Applied Mathematics Letters, 19 (11)  (2006) 1162-1167.

151. Exact solutions for the fourth order nonlinear Schrodinger equations with a cubic and a power law nonlinearities, Mathematical and Computer Modelling, 43(2006), 802-808.

152. Compactons, solitons and periodic solutions for some forms of nonlinear Klein-Gordon equations, Chaos, Solitons and Fractals,  28 (2006) 1005-1013 .

153. The tanh method for compact and noncompact solutions for variants of the KdV-Burger and the K(n,n)-Burger equations, Physica D 213 (2)  (2006), 147-151.

154. The variable separated ODE and the tanh methods for solving the combined and the double combined sinh-cosh-Gordon equations, Applied Mathematics and Computation, 177 (2006), 745--754.

155. The modified decomposition method and the Pade' approximants for a boundary layer equation in unbounded domain, Applied Mathematics and Computation, 177 (2006),  737--744.

156. Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities, Communications in Nonlinear Science and Numerical Simulation, 12(6) (2007) 904-909.  

157. The tanh method and a variable separated ODE method for solving double sine-Gordon equation, Physics Letters A, 350(5/6) (2006), 367-370.

158. New solitons and kink solutions for the Gardner  equation, Communications in Nonlinear Science and Numerical Simulation, 12(8) (2007), 1395--1404.

159.  Compact and noncompact structures for variants of the KdV equation, International Journal of Applied Mathematics, 18(2) (2005), 213-221.

160. Analytic study of  combined forms of two or more of   KdV, mKdV, Burgers, KP, and ZK  equations, Pacific-Asian Journal of Mathematics, 1(1) (2007) 51-60.

161.  The variable separated ODE method for travelling wave solutions for the Boussinesq-double-sine-Gordon and the Boussinesq-double-sinh-Gordon equations, Mathematics and Computers in Simulation, 72 (2006), 1-9.

162. Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations, Physics Letters A, 352(6) (2006) 500--504 .

163. Analytic study of the fifth order integrable nonlinear evolution equations by using the tanh method, Applied Mathematics and Computation, 174 (2006) 289-299.

164. Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method,  Applied Mathematics and Computation, 181(2) (2006) 1713-1719.

165. A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations, Applied Mathematics and Computation,
 181(2) ,  (2006) 1703-1712.

166. Solitary wave solutions and periodic solutions for higher-order nonlinear evolution equations, Applied Mathematics and Computation, 181(2) (2006),  1683-1692.

167. Analytic study on the generalized fifth-order KdV equation: new solitons and periodic solutions, Communications in Nonlinear Science and Numerical Simulation, 12(7) (2007) 1172-1180.

168. Compactons and solitary patterns solutions to fifth-order KdV equation, Physica A, 371 (2006) 273-279.

169.  A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations, Chaos, Solitons and Fractals, 33 (2) (2007)  703-710.

170. New travelling wave solutions of different physical structures to generalized BBM equation,
Physics Letters A, 355 (2006) 358-362.

171. Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method, Appl. Math. Comput., 182 (1) (2006), 283-300.

172. Analytic study for variants of the K(n,n) equation, International Journal of Applied Mathematics, 18 (3) (2005) 403-413.

173. New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations, Communications in Nonlinear Science and Numerical Simulation, 13(2) (2007) 331-339.

174. Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes, Applied Mathematics and Computation, 182(1) (2006) 412-424.

175.  Compactons and solitary wave solutions for the Boussinesq wave equation and its generalized form, Applied Mathematics and Computation, 182(1)  (2006) 529-535.

176. Exact travelling wave solutions to seventh-order and ninth-order KdV-like equations, Applied Mathematics and Computation, 182(1) (2006) 771-780.

177.  New solitons and periodic solutions for the fifth-order forms of the Lax and the SK equations, International Journal of Computer Mathematics, 84(11) (2007) 1663-1681..

178. New kinds of  solitons and periodic solutions to the generalized KdV equation, Numerical 
 Methods for Partial Differential Equations, 23(2) (2006)  247-255.

179. New hyperbolic schemes for reliable treatment of Boussinesq equation, Physics Letters A,  358 (2006) 409-413.

180. Pade' approximants and Adomian decomposition method for solving the Flierl-Petviashivili  equation and its variants, Applied Mathematics and Computation, 182 (2006) 1812-1818.

181. New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations,  Applied Mathematics and Computation, 182 (2006) 1642-1650.

182. Kinks and solitons solutions for the generalized KdV equation with two power nonlinearities, Applied Mathematics and Computation, 183(2) (2006)  1181-1189.

183. Analytic study on the one and the two spatial dimensional  potential KdV equations, Chaos, Solitons and Fractals, 36 (2008) 175-181.

184. New kinks and  solitons solutions to the (2+1)-dimensional Konopelchenko-Dubrovsky equation, Mathematical and Computer Modelling, 45 (2007) 473-479.

185. The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations, Communications in Nonlinear Science and Numerical Simulation,  13 (2008) 584-592.

186. The extended tanh method for new solitons solutions for  many forms of the fifth-order KdV equations, Applied Mathematics and Computation, 184(2) (2007) 1002-1014 .

187. The variational iteration method for rational solutions for KdV, K(2,2), Burgers, and cubic Boussinesq equations, Journal of Computational and Applied Mathematics, 207 (2007) 18-23..

188. A comparison between the variational iteration method and Adomian decomposition method, Journal of Computational and Applied Mathematics, 207 (2007), 129-136.  

189. New solitary wave   solutions to the  modified forms of Degasperis-Procesi and  Camassa-Holm equations, Applied Mathematics and Computation, 186(1) (2007) 130-141.

190.   New  travelling wave   solutions to the   Boussinesq and the Klein-Gordon equations,
Communications in Nonlinear Science and Numerical Simulations, 13 (5) (2008)  889-901..

191.  New solitary wave   solutions to  the modified Kawahara equation, Physics Letters A,360 ( 4-5)  
  2007)  588-592.

92. The extended tanh method for abundant  solitary wave   solutions of  nonlinear wave equations
Applied Mathematics and Computation, 187 (2007)  1131-1142.

193. New solitary wave and periodic wave  solutions to the (2+1)-dimensional Nizhnik-Novikov-Veselov system,  Applied Mathematics and Computation, 187 (2007)  1584-1591.

194. The variational iteration method for solving two forms of Blasius equation on a half-infinite domain,
Applied Mathematics and Computation, 188(1)  (2007)  485-491.

195. A study on linear and nonlinear Schrodinger equations by the variational iteration method, Chaos, Solitons and Fractals, 37  (2008) 1136-1142.

196.  The extended tanh method for the  Zakharov-Kuznetsov (ZK) equation,  the   modified ZK equation, and its generalized forms,  Communications in Nonlinear Science and Numerical Simulations,  13 (2008)  1039-1047.

197.  New  solitons and kinks solutions to the Sharma-Tasso-Olver equation, Applied Mathematics and Computation, 188 (2007)  1205-1213.

198.  The  tanh-coth method for solitons and kink  solutions for nonlinear parabolic equations,
Applied Mathematics and Computation, 188  (2007)  1467-1475.

199.  The  variational iteration method for exact solutions of Laplace equation, Physics Letters A,363  (2007)  260-262.

200. The tanh-coth method for new compactons and solitons solutions for  the K(n,n) and the  K(n+1,n+1) equations.  Applied Mathematics and Computation, 188 (2007)  1930-1940.

201. The variational iteration method for solving linear and nonlinear systems of PDEs, Computers and Mathematics with Applications, 54 (2007) 895-902.

202. The variational iteration method; a reliable tool for solving linear and nonlinear wave equations, Computers and Mathematics with Applications, 54 (2007) 926-932.

203.  The variational iteration method; a powerful scheme for handling linear and nonlinear diffusion equations, Computers and Mathematics with Applications, 54 (2007)  I933-939.

204.  Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method, Applied Mathematics and Computation, 190 (2007)  633-640.

205.  The  tanh-coth and the sech methods for exact solutions of the Jaulent-Miodek equation,
Physics Letters A , 366(1/2) (2007)  85-90.

206.    Multiple-front solutions for the Burgers equation and the coupled Burgers equations,
Applied Mathematics and Computation, 190 (2007) 1198-1206.

207. Multiple-soliton solutions for the Boussinesq equation, Applied Mathematics and Computation,  192 (2007)  479-486.

208.  The variational iteration method for a reliable treatment  of the linear and the nonlinear Goursat problem, Applied Mathematics and Computation, 193 (2007)  455-462.

209.  The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic  solutions for the Pochhammer-Chree equations,  Applied Mathematics and Computation 195 (2008) 24-33.

210.   Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations,  Applied Mathematics and Computation 195(2) (2008)  754-761

211.   The tanh-coth method combined with the Riccati equation for solving the KdV equation. Arab Journal of Mathematics and Mathematical Analysis 1(1) (2007)  27-34.

212.   New solutions of distinct physical  structures to high-dimensional nonlinear evolution equations,  Applied Mathematics and Computation,196  (2008)  363-370.

213.  Multiple-soliton solutions for the fifth-order  Caudrey-Dodd-Gibbon equation, Applied mathematics and Computation, 197  (2008)  719-724.

214.  Explicit and implicit solutionsfor the one-dimensional and quintic complex Ginzburg-Landau equations,  Applied Mathematics Letters,  19  (2006) 1007-1012.

215.  Multiple-soliton  solutions for the Lax seventh-order equation , Applied Mathematics and Computation,  198   (2008)  877-881 .

216.  Travelling wave solutions to (2+1)-dimensional nonlinear evolution equations, Journal of Natural  Sciences and Mathematics ,  1,   (2007)  1-15..

217. The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation, Appl. Math. Comput., 199 (2008) 133-138.

218. The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petvishvili equation, Appl. Math. Comput., 200 (2008) 160-166.

219. Multiple-front solutions for the Burgers-Kadomtsev-Petvisahvili equation, Appl. Math. Comput.,
200 (2008)  437-443.

220. Multiple-soliton solutions for the Lax-Kadomtsev-Petvisahvili (Lax-KP) equation, Appl. Math. Comput., 201 (2008) 168-174.

221. The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves, Appl. Mayh. Comput., 201 (2008) 489-503.

222. Multiple-soliton solutions of two extended model equations for  shallow water waves, Appl. Math. Comput., 201 (2008) 790-799.

223. Solitary wave solutions of the the generalized shallow water  wave (GSWW) equation by Hirota's method, tanh-coth method and Exp-function method, Appl. Math. Comput., 202 (2008) 275-286.

224. Multiple-soliton solutions for the generalized (1+1)-dimensional and the generalized (2+1)-dimensional Ito equation, Appl. Math. Comput., 202 (2008) 840-849.

225. Multiple-soliton solutions for the ninth-order KdV and sixth-order Boussinesq equations , Appl. Math. Comput., 203 (2008) 402-407.

226. N-soliton solutions for the combined  KdV-CDG   equation and the KdV-Lax equation , Appl. Math. Comput., 203 (2008) 402-407.

227. Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff ,   Jimbo-Miwa and YTSF equation ,  Appl. Math. Comput.,  203 (2008) 592-597.

228. Single and  multiple-soliton solutions for the (2+1)-dimensional KdV equation ,  Appl. Math. Comput., 204(1)  (2008) 20-26.

229. Solitons and singular  solitons for the Gardner-KP equation,  Appl. Math. Comput.,  204(1) (2008)  162-169.

230. Regular soliton solutions  and singular  solitonsolutions  for the modified Kadomtsev-Petviashvili equations ,  Appl. Math. Comput.,  204(1)   (2008)  227-232.

231. Exact N-soliton solutions of the Sharma-Tasso-Olver- Kadomtsev-Petviashvili equation (STO-KP), Numerical Simulation Research Progress, Nova Science Publishers,  (2008) 249-256.

232. Multiple kink solutions and multiple singular kink solutions for the (2+1)-dimensional Burgers equations ,  Appl. Math. Comput., 204 (2008) 817-823.

233. Multiple soliton solutions and multiple singular soliton  solutions for the (3+1)-dimensional Burgers equations ,  Appl. Math. Comput., 204 (2008) 942-948.

234. The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton  solutions ,  Appl. Math. Comput., 204  (2008) 963-972.

235. The extended tanh method for new compact and noncompact solutions for the KP-BBM and the
ZK-BBM  equations, Chaos, Solitons and Fractals .,  38(5)  (2008) 1505- 1516 .

236. Multiple soliton solutions and multiple singular soliton  solutions for two integrable systems ,  Physics Letters A,  372 ( 46)  ( 2008)  6879-6886.

237.  The Cole-Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation, Appl. Math. Comput., 207 (2009)  248-255..

238.  Two systems of two-component integrable equation: multiple soliton solutions and multiple singular soliton solutions , Appl. Math. Comput., 207 (2009) 397-405.

 239.  Multiple kink solutions and multiple singular kink solutions for two systems of coupled Burgers' type  equations,  Communications in Nonlinear Science and Numerical Simulations, 14  (2009)  2962-2970.

240.  Multiple soliton solutions and multiple singular soliton solutions for two higher dimensional shallow waterwave equations,   Appl. Math. Comput., 211 (2) (2009)  495-501.

241.  The variational iteration method for analytic treatment for linear and nonlinear ODEs,  Appl. Math. Comput., 212 (1) (2009)  120-134.

242.  Multiple kink solutions and multiple singular kink solutions for   (2+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy, Physics Letters A, 373 (2009)  (1844-1846).

243. Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation, (with H. Triki)   Appl. Math. Comput., 214 (2) (2009)  370-373..

244. Bright and dark  soliton solutions for a K(m,n)  equation with t-dependent coefficients, (with H. Triki)   Physics Letters A,  373 (2009) 2162-2165 .

245. Multiple soliton solutions for a (2+1)-dimensional integrable KdV6 equation, Communications in Nonlinear Science and Numerical Simulations,  (2009) In Press.

246. The variational iteration method (VIM)  for solving linear and nonlinear Volterra integral and integro-differential equations,  International Journal of Computer Mathematics,  (2009) In Press. 

247.   Multiple soliton solutions and multiple singular soliton solutions for (2+1)-dimensional shallow water wave equations, Physics Letters A,  373 (33) (2009)  2927-2930.

248.  A variety of wxact travelling wave solutions for the (2+1)-dimensional Boiti-Leon-Pempinelli equation, (with M. Mehanna), Appl. Math, Comput. (2009)  In Press.

249. Solitary wave solutions for a generalized KdV-mKdV equation with variable coefficients, (with H. Triki and T. Taha), Mathematics and Computers in Simulation, (2009) Submitted..

250. A (3+1)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions, Appl. Math. Comput., 215 (4)  (2009)  1548-1552.

251. Four (2+1)-dimensional integrable extensions of the KdV equation: multiple-soliton solutions and multiple singular soliton solutions, Appl. Math. Comput., 215(4) (2009) 1463-1476 .

252. Soliton solution for an inhomogeneous highly dispersive media with a dual- power nonlinearity law, (with H. Triki),  International Journal of Computer Mathematics,  (2009) In Press.

253. Multiple soliton solutions for the (2+1)-dimensional asymmetric Nizhanik-Novikov-Veselov equation, Nonlinear Analysis Series A: Theo ry, Methods & Applications,  (2009) In Press.

254. The (2+1) and (3+1)-dimensional CBS equation: multiple soliton solutions and multiple singular soliton solutions, Multiple,  Zeitschrift fur Naturforschung A (ZNA),  (2009) In Press.

255. Completely integrable   coupled KdV and coupled KP systems, Communications in Nonlinear Science and Numerical Simulations, (2009) In Press.

256. Four (2+1)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation,  Applied Mathematics and Computation, (2010) In Press.