Numerical solution of sine-Gordon equation by variational iteration method

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

Volumn 370, Issue 5-6, 2007, Pages 437-440

  Batiha, B ^a   Noorani, M S M ^a   Hashim, I ^a  

^a UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

Author keywords

Sine Gordon equation; Variational iteration method

Indexed keywords

ITERATIVE METHODS; NUMERICAL METHODS;

APPROXIMATE ANALYTICAL SOLUTIONS; DISCRETIZATIONS; EXACT SOLUTION; NUMERICAL SOLUTION; VARIATIONAL ITERATION METHOD;

SINE-GORDON EQUATION;

EID: 35349016929     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.05.087     Document Type: Article

References (35)

1. Wang X.Y. J. Phys. Lett. A 131 4/5 (1988) 277
2. Jeffrey A., and Mohamad M.N.B. J. Wave Motion 14 (1991) 369
3. Wadati M. J. Phys. Soc. Jpn. 32 (1972) 1681
4. Herbst B.M., and Ablowitz M.J. Quaest. Math. 15 (1992) 345
5. Ablowitz M.J., Herbst B.M., and Schober C. J. Comput. Phys. 126 (1996) 299
6. Wazwaz A.M. Appl. Math. Comput. 167 (2005) 1196
7. Kaya D. Appl. Math. Comput. 143 (2003) 309
8. Kaya D. Appl. Math. Comput. 159 (2004) 1
9. Saha Ray S. Appl. Math. Comput. 175 2 (2006) 1046
10. Wazwaz A.M. Chaos Solitons Fractals 28 (2006) 127
11. Wazwaz A.M. Phys. Lett. A 350 (2006) 367
12. He J.H. Commun. Nonlinear Sci. Numer. Simul. 2 (1997) 230
13. He J.H. Commun. Nonlinear Sci. Numer. Simul. 3 (1998) 260
14. He J.H. Int. J. Non-Linear Mech. 34 (1999) 699
15. He J.H. Appl. Math. Comput. 114 (2000) 115
16. He J.H., Wan Y.Q., and Guo Q. Int. J. Circ. Theory Appl. 32 (2004) 629
17. He J.H. Int. J. Mod. Phys. B 20 (2006) 1141
18. He J.H. Non-Perturbative Methods for Strongly Nonlinear Problems (2006), Dissertation.de-Verlag im Internet GmbH, Berlin
19. J.H. He, J. Comput. Appl. Math. (2006), in press
20. Soliman A.A. Chaos Solitons Fractals 29 2 (2006) 294
21. Abulwafa E.M., Abdou M.A., and Mahmoud A.A. Chaos Solitons Fractals 29 2 (2006) 313
22. Momani S., and Abuasad S. Chaos Solitons Fractals 27 (2006) 1119
23. Odibat Z.M., and Momani S. Int. J. Nonlinear Sci. Numer. Simul. 7 1 (2006) 27
24. Bildik N., and Konuralp A. Int. J. Nonlinear Sci. Numer. Simul. 7 1 (2006) 65
25. Wazwaz A.M. J. Comput. Appl. Math. 207 (2007) 18
26. Wazwaz A.M. J. Comput. Appl. Math. 207 (2007) 129
27. El. Zoheiry H., Abassy T.A., and El-Tawil M.A. J. Comput. Appl. Math. 207 (2007) 137
28. Abbasbandy S. J. Comput. Appl. Math. 207 (2007) 59
29. Junfeng L. J. Comput. Appl. Math. 207 (2007) 92
30. Batiha B., Noorani M.S.M., and Hashim I. Appl. Math. Comput. 186 (2007) 1322
31. B. Batiha, M.S.M. Noorani, I. Hashim, Chaos Solitons Fractals, doi: 10.1016/j.chaos.2006.06.080
32. Momani S., and Odibat Z. Phys. Lett. A 355 4-5 (2006) 271
33. Odibat Z., and Momani S. Appl. Math. Model. 32 (2008) 28
34. Inokuti M., Sekine H., and Mura T. Pergamon Press (1978) 156
35. E.Y. Deeba, S.A. Khuri, J. Comput. Phys. 124