On the solution of the coupled Schrödinger-KdV equation by the decomposition method

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

Volumn 313, Issue 1-2, 2003, Pages 82-88

  Kaya, Doǧan ^a   El Sayed, Salah M ^b,c  

^a FIRAT UNIVERSITY   (Turkey)

^b BENHA UNIVERSITY   (Egypt)

^c Girls College of Education Riyadh   (Saudi Arabia)

Author keywords

Adomian decomposition method; Coupled Schr dinger KdV equation; Numerical solution; Traveling wave solution

Indexed keywords

CONTROL NONLINEARITIES; NUMERICAL METHODS; PERTURBATION TECHNIQUES;

ADOMIAN DECOMPOSITION METHOD; ADOMIAN'S DECOMPOSITION METHOD; COMPUTABLE COMPONENTS; DECOMPOSITION METHODS; KDV EQUATIONS; NUMERICAL SOLUTION; TRAVELING WAVE SOLUTION; WEAK NONLINEARITY ASSUMPTIONS;

KORTEWEG-DE VRIES EQUATION;

ANALYTIC METHOD; ARTICLE; CALCULATION; COMPUTER ANALYSIS; DECOMPOSITION; MATHEMATICAL ANALYSIS; PHENOMENOLOGY;

EID: 0038005388     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(03)00723-0     Document Type: Article

References (35)

1. R.L. Pego, P. Smereka, M.I. Weinstein, Physica D 67 (1993) 45.
2. I. Mukhopadhya, A.R. Chowdhury, Nonlinear Math. Phys. 1 (1994) 267.
3. J. Yang, Physica D 108 (1997) 92.
4. L. Molinet, J. Differential Equations 152 (1999) 30.
5. E.G. Fan, Phys. Lett. A 282 (2001) 18.
6. E.G. Fan, J. Zhang, Y.C. Hon, Phys. Lett. A 291 (2001) 376.
7. J.L. Bona, J. Differential Equations 185 (2002) 437.
8. E. Fan, Y.C. Hon, Applications of extended tanh method to special types of nonlinear equations, Appl. Math. Comput., in press.
9. L. Debtnath, Nonlinear Partial Differential Equations for Scientist and Engineers, Birkhauser, Boston, MA, 1997.
10. A.M. Wazwaz, Partial Differential Equations: Methods and Applications, Balkema, Rotterdam, 2002.
11. W. Hereman, P.P. Banerjee, A. Korpel, G. Assanto, A. van Immerzeele, A. Meerpoel, J. Phys. A: Math. Gen. 19 (1986) 607.
12. A.H. Khater, M.A. Helal, O.H. El-Kalaawy, Math. Methods Appl. Sci. 21 (1998) 719.
13. A.M. Wazwaz, Math. Comput. Simulation 56 (2001) 269.
14. S.A. Elwakil, S.K. El-Labany, M.A. Zahran, R. Sabry, Phys. Lett. A 299 (2002) 179.
15. Y. Lei, Z. Fajiang, W. Yinghai, Chaos Solitons Fractals 13 (2002) 337.
16. G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer, Boston, 1994.
17. G. Adomian, J. Math. Anal. Appl. 135 (1988) 501.
18. D. Kaya, Int. J. Math. Math. Sci. 27 (2001) 675.
19. D. Kaya, Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation, Appl. Math. Comput., in press.
20. D. Kaya, M. Aassila, Phys. Lett. A 299 (2002) 201.
21. D. Kaya, S.M. El-Sayed, Chaos Solitons Fractals 17 (2003) 869.
22. D. Kaya, S.M. El-Sayed, Phys. Lett. A 310 (2003) 44.
23. D. Kaya, Int. J. Comput. Math. 72 (1999) 531.
24. D. Kaya, J. Appl. Math. 1 (2001) 29.
25. S.A. Khuri, Appl. Math. Comput. 97 (1998) 251.
26. A.M. Wazwaz, Appl. Math. Comput. 102 (1999) 77.
27. A. Rèpaci, Appl. Math. Lett. 3 (1990) 35.
28. A.M. Wazwaz, Appl. Math. Comput. 111 (2000) 53.
29. V. Seng, K. Abbaoui, Y. Cherruault, Math. Comput. Modelling 24 (1996) 59.
30. Y. Cherruault, Kybernetes 18 (1989) 31.
31. Y. Cherruault, G. Adomian, Math. Comput. Modelling 18 (1993) 103.
32. K. Abbaoui, Y. Cherruault, Comput. Math. Appl. 28 (1994) 103.
33. K. Abbaoui, Y. Cherruault, Comput. Math. Appl. 29 (1995) 103.
34. K. Abbaoui, M.J. Pujol, Y. Cherruault, N. Himoun, P. Grimalt, Kybernetes 30 (2001) 1183.
35. N. Ngarhasta, B. Some, K. Abbaoui, Y. Cherruault, Kybernetes 31 (2002) 61.