New exact non-traveling wave and coefficient function solutions of the (2 + 1)-dimensional breaking soliton equations

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 368, Issue 6, 2007, Pages 470-475

  Zhang, Sheng ^a  

^a BOHAI UNIVERSITY   (China)

Author keywords

Exponential solutions; Generalized auxiliary equation method; Nonlinear partial differential equations; Rational solutions; Soliton like solutions; Trigonometric function solutions

Indexed keywords

PARTIAL DIFFERENTIAL EQUATIONS; RATIONAL FUNCTIONS; SOLITONS;

EXPONENTIAL SOLUTIONS; GENERALIZED AUXILIARY EQUATION METHOD; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; RATIONAL SOLUTION; SOLITON-LIKE SOLUTION; TRIGONOMETRIC FUNCTION SOLUTIONS;

NONLINEAR EQUATIONS;

EID: 34548025354     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.04.038     Document Type: Article

References (63)

1. Ablowitz M.J., and Clarkson P.A. Soliton, Nonlinear Evolution Equations and Inverse Scattering (1991), Cambridge Univ. Press, New York
2. Hirota R. Phys. Rev. Lett. 27 (1971) 1192
3. Miurs M.R. Bäcklund Transformation (1978), Springer, Berlin
4. Weiss J., Tabor M., and Carnevale G. J. Math. Phys. 24 (1983) 522
5. Wang M.L. Phys. Lett. A 213 (1996) 279
6. Yan C.T. Phys. Lett. A 224 (1996) 77
7. Wazwaz A.M. Phys. Lett. A 350 (2006) 367
8. Wazwaz A.M. Phys. Lett. A 352 (2006) 500
9. El-Shahed M. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 163
10. He J.H. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 207
11. He J.H. Chaos Solitons Fractals 26 (2005) 695
12. He J.H. Int. J. Nonlinear Mech. 34 (1999) 699
13. He J.H. Appl. Math. Comput. 114 (2000) 115
14. He J.H. Phys. Lett. A 335 (2005) 182
15. Abdou M.A., and Soliman A.A. Physica D 211 (2005) 1
16. Abdou M.A. Phys. Lett. A 366 (2007) 61
17. He J.H. Int. J. Mod. Phys. B 20 (2006) 1141
18. J.H. He, Non-perturbative methods for strongly nonlinear problems, Dissertation, de-Verlag im Internet GmbH, Berlin, 2006
19. Abassy T.A., El-Tawil M.A., and Saleh H.K. Int. J. Nonlinear Sci. Numer. Simul. 5 (2004) 327
20. El-Wakil S.A., and Abdou M.A. Chaos Solitons Fractals 33 (2007) 513
21. Parks E.J., and Duff B.R. Comput. Phys. Commun. 98 (1996) 288
22. Zayed E.M.E., Zedan H.A., and Gepreel K.A. Int. J. Nonlinear Sci. Numer. Simul. 5 (2004) 221
23. Abdusalam H.A. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 99
24. Zhang S., and Xia T.C. Commun. Theor. Phys. (Beijing, China) 45 (2006) 985
25. Zhang S., and Xia T.C. Appl. Math. Comput. 181 (2006) 319
26. Zhang S. Chaos Solitons Fractals 31 (2007) 951
27. Wazwaz A.M. Appl. Math. Comput. 182 (2006) 1642
28. El-Wakil S.A., and Abdou M.A. Chaos Solitons Fractals 31 (2007) 840
29. El-Wakil S.A., and Abdou M.A. Chaos Solitons Fractals 31 (2007) 1256
30. S.A. El-Wakil, M.A. Abdou, New exact traveling wave solutions for two nonlinear physical models, Nonlinear Anal. (2007), in press
31. Yomba E. Chaos Solitons Fractals 27 (2006) 187
32. Zhang S., and Xia T.C. Phys. Lett. A 356 (2006) 119
33. Zhang S., and Xia T.C. Appl. Math. Comput. 182 (2006) 1651
34. Liu S.K., Fu Z.T., Liu S.D., and Zhao Q. Phys. Lett. A 289 (2001) 69
35. Fu Z.T., Liu S.K., Liu S.D., and Zhao Q. Phys. Lett. A 290 (2001) 72
36. El-Wakil S.A., and Abdou M.A. Phys. Lett. A 358 (2006) 275
37. Zhou Y.B., Wang M.L., and Wang Y.M. Phys. Lett. A 308 (2003) 31
38. Zhang S. Phys. Lett. A 358 (2006) 414
39. Zhang S. Chaos Solitons Fractals 30 (2006) 1213
40. Zhang S., and Xia T.C. Appl. Math. Comput. 183 (2006) 1190
41. Zhang S. Chaos Solitons Fractals 32 (2007) 847
42. Zhang S. Chaos Solitons Fractals 32 (2007) 1375
43. Abodou M.A. Chaos Solitons Fractals 31 (2007) 95
44. M.A. Abdou, New exact travelling wave solutions for the generalized nonlinear Schroedinger equation with a source, Chaos Solitons Fractals (2007), doi:10.1016/j.chaos.2007.01.027, in press
45. M.A. Abdou, Further improved F-expansion and new exact solutions for nonlinear evolution equations, Nonlinear Dynam. (2007), in press
46. El-Wakil S.A., and Abdou M.A. Phys. Lett. A 353 (2006) 40
47. He J.H., and Abdou M.A. Chaos Solitons Fractals 34 (2007) 1421
48. M.A. Abdou, Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method, Nonlinear Dynam. (2007), in press
49. M.A. Abdou, Generalized auxiliary equation method and its applications, Nonlinear Dynam. (2007), in press
50. Sirendaoreji, J. Sun, Phys. Lett. A 309 (2003) 387
51. Sirendaoreji, Chaos Solitons Fractals 19 (2004) 147
52. Liu C.P., and Liu X.P. Phys. Lett. A 348 (2006) 222
53. Xu G.Q., and Li Z.B. Chaos Solitons Fractals 24 (2005) 549
54. Sirendaoreji, Chaos Solitons Fractals 31 (2007) 943
55. Zhang S. Appl. Math. Comput. 188 (2007) 1
56. Radha R., and Lakshmanan M. Phys. Lett. A 197 (1995) 7
57. Zhang J.F., and Men J.P. Phys. Lett. A 321 (2004) 173
58. Ruan H.Y. Phys. Soc. Jpn. 71 (2002) 453
59. Peng Y.Z. Phys. Lett. A 314 (2003) 401
60. Chen Y., Li B., and Zhang H.Q. Commun. Theor. Phys. (Beijing, China) 40 (2003) 137
61. Zhang J.F., and Guo G.P. Acta Phys. Sin. 10 (2003) 2359 (in Chinese)
62. Peng Y.Z., and Krishna E.V. Commun. Theor. Phys. (Beijing, China) 44 (2005) 807
63. Ren Y.J., Liu S.T., and Zhang H.Q. Commun. Theor. Phys. (Beijing, China) 45 (2006) 15