A new auxiliary function method for solving the generalized coupled Hirota-Satsuma KdV system

Applied Mathematics and Computation

Volumn 200, Issue 1, 2008, Pages 283-288

  Feng, Yang ^a   Zhang, Hong qing ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Elliptic equation; The generalized coupled Hirota Satsuma KdV system; Travelling wave solution

Indexed keywords

NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

ELLIPTIC EQUATION; TRAVELLING WAVE SOLUTION;

FUNCTION EVALUATION;

EID: 43049173487     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.11.007     Document Type: Article

References (26)

1. Ablowitz M.J., and Clarkson P.A. Solitons, Nonlinear Evolution Equations and Inverse Scattering (1991), Cambridge University Press, Cambridge
2. Matveev V.B., and Salle M.A. Darboux Transformation and Solitons (1991), Springer, Berlin
3. Gu C.H., Hu H.S., and Zhou Z.X. Darboux transformations in soliton theory and its geometric applications. Shanghai Sci. Tech. Publ. (1999)
4. Rogers C., and Schief W.K. Bäcklund and Darboux Transformations, Geometry and Morden Applications in Soliton Theory (2002), Cambridge University Press, Cambridge
5. Wadati M. J. Phys. Soc. Jpn. 38 (1975) 673-680
6. Hirota R., and Satsuma J. Phys. Lett. A 85 (1981) 407-408
7. Olver P.J. Applications of Lie Groups to Differential Equations (1993), Springer, New York
8. Bluman G.W., and Kumei S. Symmetries and Differential Equations (1989), Springer, Berlin
9. Yan C.T. Phys. Lett. A 224 (1996) 77-84
10. Yan Z.Y., and Zhang H.Q. Acta Phys. Sin. 48 (1999) 1-5 (in Chinese)
11. Fu Z.T., et al. Phys. Lett. A 299 (2002) 507-512
12. Hereman W. Comput. Phys. Commun. 65 (1996) 143-150
13. Parkes E.J., and Duffy B.R. Comput. Phys. Commun. 98 (1996) 288-300
14. Li Z.B., and Liu Y.P. Comput. Phys. Commun. 148 (2002) 256-266
15. Ma W.X., et al. Int. J. Non-linear Mech. 31 (1996) 329-338
16. Fan E.G. Phys. Lett. A 277 (2000) 212-218
17. Yan Z.Y., and Zhang H.Q. Phys. Lett. A 292 (2001) 100-106
18. Xie F.D., Zhang Y., and Lü Z.S. Chaos Solitons Fract. 24 (2005) 257-263
19. Sirendaoreji Sun. J. Phys. Lett. A 309 (2003) 387-396
20. Yomba E. Chaos Solitons Fract. 20 (2004) 1135-1139
21. Yomba E. Chaos Solitons Fract. 21 (2004) 75-79
22. Yomba E. Chaos Solitons Fract. 22 (2004) 321-325
23. Fan E.G. J. Phys. A 35 (2002) 6853-6872
24. Fan E.G., and Hon Y.C. Chaos Solitons Fract. 15 (2003) 559-566
25. Yomba E. Phys. Lett. A 336 (2005) 463-476
26. Xu G. Chaos Solitons Fract. 29 (2006) 942-947