On numerical doubly periodic wave solutions of the coupled Drinfel'd-Sokolov-Wilson equation by the decomposition method

Applied Mathematics and Computation

Volumn 172, Issue 1, 2006, Pages 421-430

  Inc, Mustafa ^a  

^a FIRAT UNIVERSITY   (Turkey)

Author keywords

Adomian decomposition method; Adomian polynomials; Coupled Drinfel'd Sokolov Wilson equation

Indexed keywords

DECOMPOSITION; FUNCTIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; PROBLEM SOLVING; THEOREM PROVING;

ADOMIAN DECOMPOSITION METHOD; ADOMIAN POLYNOMIALS; COUPLED DRINFEL'D-SOKOLOV-WILSON EQUATION; JACOBI ELLIPTIC FUNCTION;

NONLINEAR EQUATIONS;

EID: 31144468919     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.02.012     Document Type: Article

References (20)

1. G. Adomian Nonlinear Stochastic Systems and Application to Physics 1989 Kluwer
2. G. Adomian Solving Frontier Problems of Physics: The Decomposition Method 1994 Kluwer
3. D. Kaya Appl. Math. Comput. 147 2004 69
4. D. Kaya, and S.M. El-Sayed Phys. Lett. A 310 2003 44
5. Z. Yan, Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method, Appl. Math. Comput., in press, doi: 10.1016/j.amc.2004.07.004.
6. G. Bluman, and S. Kumei J. Math. Phys. 21 5 1980 1019
7. S. Kumei, and G. Bluman SIAM J. Appl. Math. 42 5 1982 1157
8. M. Torrisi, R. Tracina, and A. Valenti J. Math. Phys. 37 9 1996 4758
9. P.G. Drazin, and R.S. Johnson Solitons: An Introduction 1989 Cambridge University Press Cambridge
10. B. Abdel-Hamid Computers Math. Appl. 40 2000 291
11. L. Debnath Nonlinear Partial Differential Equations for Scientists and Engineers 1998 Birkhauser Berlin
12. Y. Cherruault Kybernetes 18 1989 31
13. Y. Cherruault, and G. Adomian Math. Comput. Modelling 18 12 1993 103
14. N. Ngarhasta, B. Some, K. Abbaoui, and Y. Cherruault Kybernetes 31 2002 61
15. Y. Yao Chaos, Solitons & Fractals 24 2005 301
16. V.G. Drinfel'd, and V.V. Sokolov Sov. Math. Dokl. 23 1981 457
17. G. Wilson Phys. Lett. A 89 1982 332
18. X.Y. Yao, and Z.B. Li Phys. Lett. A 297 2002 196
19. K. Abbaoui, M.J. Pujol, Y. Cherruault, N. Himoun, and P. Grimalt Kybernetes 30 2001 1183
20. Y. Cherruault Modéles et Méthodes Mathé matiques Pour Les Sciences Du Vivant 1998 PUF Paris