Application of Exp-function method to a KdV equation with variable coefficients

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

Volumn 365, Issue 5-6, 2007, Pages 448-453

  Zhang, Sheng ^a  

^a BOHAI UNIVERSITY   (China)

Author keywords

Exp function method; Generalized solitonary solutions; KdV equation with variable coefficients; Nonlinear evolution equations; Periodic solutions

Indexed keywords

FUNCTIONS; KORTEWEG-DE VRIES EQUATION; SOLITONS;

EXP-FUNCTION METHOD; GENERALIZED SOLITONARY SOLUTIONS; NONLINEAR EVOLUTION EQUATION; PERIODIC SOLUTION; VARIABLE COEFFICIENTS;

NONLINEAR EQUATIONS;

EID: 34247350849     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.02.004     Document Type: Article

References (39)

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. Backlund Transformation (1978), Springer, Berlin
4. Weiss J., Tabor M., and Carnevale G. J. Math. Phys. 24 (1983) 522
5. Yan C. Phys. Lett. A 224 (1996) 77
6. Wang M.L. Phys. Lett. A 213 (1996) 279
7. El-Shahed M. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 163
8. He J.H. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 207
9. He J.H. Chaos Solitons Fractals 26 (2005) 695
10. He J.H. Int. J. Nonlinear Mech. 34 (1999) 699
11. He J.H. Appl. Math. Comput. 114 (2000) 115
12. He J.H. Chaos Solitons Fractals 19 (2004) 847
13. He J.H. Phys. Lett. A 335 (2005) 182
14. He J.H. Int. J. Mod. Phys. B 20 (2006) 1141
15. J.H. He, Non-Perturbative Methods for Strongly Nonlinear Problems, Dissertation, de-Verlag im Internet GmbH, Berlin, 2006
16. Abassy T.A., El-Tawil M.A., and Saleh H.K. Int. J. Nonlinear Sci. Numer. Simul. 5 (2004) 327
17. Zayed E.M.E., Zedan H.A., and Gepreel K.A. Int. J. Nonlinear Sci. Numer. Simul. 5 (2004) 221
18. Abdusalam H.A. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 99
19. Zhang S., and Xia T.C. Commun. Theor. Phys. (Beijing) 45 (2006) 985
20. Zhang S., and Xia T.C. Appl. Math. Comput. 181 (2006) 319
21. Zhang S. Chaos Solitons Fractals 31 (2007) 951
22. Hu J.Q. Chaos Solitons Fractals 23 (2005) 391
23. Yomba E. Chaos Solitons Fractals 27 (2006) 187
24. Zhang S., and Xia T.C. Phys. Lett. A 356 (2006) 119
25. Zhang S., and Xia T.C. Appl. Math. Comput. 182 (2006) 1651
26. Liu S.K., Fu Z.T., Liu S.D., and Zhao Q. Phys. Lett. A 289 (2001) 69
27. Dai C.Q., and Zhang J.F. Chaos Solitons Fractals 27 (2006) 1042
28. Zhao X.Q., Zhi H.Y., and Zhang H.Q. Chaos Solitons Fractals 28 (2006) 112
29. Zhang S. Phys. Lett. A 358 (2006) 414
30. Zhang S. Chaos Solitons Fractals 30 (2006) 1213
31. Zhang S. Chaos Solitons Fractals 32 (2007) 847
32. Zhang S. Chaos Solitons Fractals 32 (2007) 1375
33. He J.H., and Wu X.H. Chaos Solitons Fractals 30 (2006) 700
34. Taogetusang, and Sirendaoerji. Chin. Phys. 15 (2006) 2809
35. Liu S.K., Fu Z.T., Liu S.D., and Zhao Q. Acta Phys. Sinica 51 (2002) 1923 (in Chinese)
36. Fu Z.T., Liu S.D., Liu S.K., and Zhao Q. Appl. Math. Mech. (English Ed.) 25 (2004) 73
37. Dai C.Q., Zhu J.M., and Zhang J.F. Chaos Solitons Fractals 27 (2006) 881
38. Chen H.T., and Zhang H.Q. Commun. Theor. Phys. (Beijing) 42 (2004) 497
39. J.H. He, M.A. Abdou, Chaos Solitons Fractals, doi:10.1016/j.chaos.2006.05.072, in press