An extended method and its application to Whitham-Broer-Kaup equation and two-dimensional perturbed KdV equation

Applied Mathematics and Computation

Volumn 172, Issue 1, 2006, Pages 664-677

  Jiao, Xiaoyu ^a   Zhang, Hong Qing ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Travelling wave solutions; Two dimensional perturbed KdV equation; Whitham Broer Kaup equation

Indexed keywords

FRACTALS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; THEOREM PROVING;

NONLINEAR EVOLUTION EQUATIONS; TRAVELLING WAVE SOLUTIONS; TWO-DIMENSIONAL PERTURBED KDV EQUATION; WHITHAM-BROER-KAUP EQUATION;

NONLINEAR EQUATIONS;

EID: 31144461587     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.02.032     Document Type: Article

References (31)

1. C.S. Gardner, J.M. Greene, M.D. Kruskal, and R.M. Miura Phys. Rev. Lett. 19 1967 1095
2. M.J. Ablowitz, and P.A. Clarkson Soliton, nonlinear evolution equations and inverse scatting 1991 Cambridge University Press New York
3. J. Weiss, M. Tabor, and G. Garnevale J. Math. Phys. 24 1983 522
4. R. Hirota Phys. Rev. Lett. 27 1971 1192
5. W. Malfliet Am. J. Phys. 60 1992 650
6. W. Malfliet, and W. Hereman Phys. Scr. 54 1996 563
7. E.J. Parkes, and B.R. Duffy Comput. Phys. Commun. 98 1996 288
8. E.J. Parkes, and B.R. Duffy Phys. Lett. A 229 1997 217
9. E. Fan Phys. Lett. A 277 2000 212
10. E. Fan Phys. Lett. A 294 2002 26
11. S.A. Elwakil, S.K. El-labany, M.A. Zahran, and R. Sabry Phys. Lett. A 299 2002 179
12. Z.Y. Yan Phys. Lett. A 292 2001 100
13. Z.Y. Yan, and H.Q. Zhang Phys. Lett. A 285 2001 355
14. Z.S. Lü, and H.Q. Zhang Phys. Lett. A 307 2003 269
15. Z.S. Lü, and H.Q. Zhang Chaos, Solitons and Fractals 17 2003 669
16. B. Li, Y. Chen, and H.Q. Zhang Z. Natur. A 57 2002 874
17. B. Li, Y. Chen, and H.Q. Zhang Chaos, Solitons and Fractals 15 2003 647
18. Y.T. Gao, and B. Tian Comput. Phys. Commun. 133 2001 158
19. B. Tian, and Y.T. Gao Z. Natur. A 57 2002 39
20. Y. Chen, B. Li, and H.Q. Zhang Commun. Theor. Phys. 40 2003 137
21. Y. Chen, and B. Li Chaos, Solitons and Fractals 19 2004 977
22. E. Fan J. Phys. A 36 2003 7009
23. Y. Chen, Q. Wang, and B. Li Chaos, Solitons and Fractals 22 2004 675
24. Y. Chen, and Q. Wang Int. J. Mod. Phys. C 4 2004 595
25. G.B. Whitham Proc. R. Soc. A 299 1967 6
26. L.J. Broer Appl. Sci. Res. 31 1975 377
27. D.J. Kaup Prog. Theor. Phys. 54 1975 369
28. W.X. Ma, and B. Fuchssteiner Phys. Lett. A 213 1996 49
29. K. Chandrasekharan Elliptic function 1978 Springer Berlin
30. D.V. Patrick Elliptic function and elliptic curves 1973 Cambridge University Press Cambridge
31. Z.X. Wang, and X.J. Xia Special functions 1989 World Scientific Singapore