The (2+1)-dimensional integrable coupling of KdV equation: Auto-Bäcklund transformation and new non-traveling wave profiles

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

Volumn 345, Issue 4-6, 2005, Pages 362-377

  Yan, Zhenya ^a,b  

^a CCAST WORLD LABORATORY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

B cklund transformation; Integrable coupling; Non traveling wave solutions; Painlev analysis; Symbolic computation

Indexed keywords

KORTEWEG-DE VRIES EQUATION; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; WAVE PROPAGATION;

CKLUND TRANSFORMATION; INTEGRABLE COUPLING; NON-TRAVELING WAVE SOLUTIONS; PAINLEVE; SYMBOLIC COMPUTATION;

LINEAR TRANSFORMATIONS;

EID: 24344500163     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.07.052     Document Type: Article

References (25)

1. M.J. Ablowitz, and P.A. Clarkson Solitons, Nonlinear Evolution Equations and Inverse Scattering 1991 Cambridge Univ. Press Cambridge
2. C.H. Gu Soliton Theory and its Applications 1995 Springer-Verlag Berlin
3. Z.Y. Yan Commun. Theor. Phys. 36 2001 513
4. Z.Y. Yan, and H.Q. Zhang Proc. of 5th Asia Symp. Comput. Math. 2001 World Scientific Singapore 193
5. W.X. Ma, and B. Fuchssteiner Phys. Lett. A 213 1996 49
6. W.X. Ma J. Math. Phys. 43 2002 1408
7. W.X. Ma Methods Appl. Anal. 7 2000 21
8. Z.Y. Yan, and H.Q. Zhang J. Math. Phys. 43 2002 4978
9. A.H. Nayfeh Perturbation Methods 1973 Wiley New York
10. S.Y. Sakovich J. Nonlinear Math. Phys. 5 1998 230
11. J. Weiss J. Math. Phys. 24 1983 522
12. E.G. Fan Chaos Solitons Fractals 15 2003 567
13. Z.Y. Yan Comput. Phys. Commun. 153 2003 1
14. Z.Y. Yan Comput. Phys. Commun. 148 2002 30
15. Z.Y. Yan Chaos Solitons Fractals 15 2003 575
16. Z.Y. Yan, and H.Q. Zhang J. Phys. A 34 2001 1785
17. Z.Y. Yan J. Phys. A 35 2002 9923
18. Z.Y. Yan, and H.Q. Zhang Comput. Math. Appl. 44 2002 1439
19. Z.Y. Yan Phys. Lett. A 301 2003 78
20. B. Tian, and Y. Gao J. Phys. A 29 1996 2895
21. Z.Y. Yan Phys. Lett. A 331 2004 193
22. Z.Y. Yan Chaos Solitons Fractals 23 2005 767
23. Z.Y. Yan Commun. Theor. Phys. 43 2005 391
24. D.V. Patrick Elliptic Function and Elliptic Curves 1973 Cambridge Univ. Press Cambridge
25. D.F. Lawden Elliptic Functions and Applications 1989 Springer-Verlag New York