An improved variational iteration method for solving coupled KdV and Boussinesq-like B(m, n) equations

Chaos, Solitons and Fractals

Volumn 39, Issue 3, 2009, Pages 1324-1334

  El Wakil, S A ^a   Abulwafa, Essam M ^a   Abdou, M A ^a,b  

^a MANSOURA UNIVERSITY   (Egypt)

^b KING KHALID UNIVERSITY   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

LAGRANGE MULTIPLIERS;

ADOMIAN POLYNOMIALS; ADOMIAN'S DECOMPOSITION METHOD; INITIAL APPROXIMATION; INITIAL CONDITIONS; NONLINEAR PROBLEMS; NONLINEAR TERMS; VARIATIONAL ITERATION METHOD; VARIATIONAL THEORY;

ITERATIVE METHODS;

EID: 62949138528     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.05.020     Document Type: Article

References (27)

1. He J.H. Int J Non-Linear Mechanics 34 4 (1999) 699-708
2. He JH. Non perturbative method for strongly nonlinear problems, dissertation. Berlin: de Verlag in Internt GmbH; 2006.
3. He J.H., and Wu H.H. Chaos, Solitons & Fractals 29 1 (2006) 108-113
4. He J.H. Int J Mod Phys B 20 18 (2006) 2561-2568
5. He J.H. Int J Mod Phys B 20 10 (2006) 1141-1199
6. He J.H. Appl Math Comput 114 2,3 (2000) 115-123
7. He J.H. Generalized variational principles in fluids (2003), Science & Culture Publishing House of China, Hong Kong in Chinese
8. Marinca V. Int J Non Sci Numer Sim 3 (2002) 107
9. Abdou M.A., and Soliman A.A. Physica D 211 (2005) 1-8
10. Abdou M.A., and Soliman A.A. J Comput Appl Math 181 (2005) 245-251
11. Abulwafa E.M., Abdou M.A., and Mahmoud A.A. Chaos, Solitons & Fractals 29 (2006) 313
12. Abulwafa E.M., Abdou M.A., and Mahmoud A.A. Chaos, Solitons & Fractals 32 (2007) 1384
13. Abdou M.A. On the variational iteration method. Phys Lett A 366 (2007) 61-68
14. El-Wakil SA, Abdou MA, New applications of variational iteration method using Adomian polynomials. Nonlinear Dynam; in press, doi:10.1007511071-007-9256-8.
15. Shou D.H., and He J.H. Int J Non Sci Numer Sim 8 1 (2007) 121-124
16. Bildik N., and Konuralp A. Int J Non Sci Numer Sim 7 1 (2006) 65-70
17. Inc M. Physica A 375 (2007) 447
18. Odibat Z.M., and Momani S. Int J Non Sci Numer Sim 7 1 (2006) 27-34
19. Yusufoglu E. Int J Non Sci Numer Sim 8 2 (2007) 153-158
20. Tari H., and Ganji D.D. Int J Non Sci Numer Sim 8 2 (2007) 203-210
21. Elhanbaly A., and Abdou M. Appl Math Comput 182 (2006) 301-312
22. Abdou M.A., and Elhanbaly A. Phys Scripta 73 (2006) 338-348
23. El-Wakil S.A., Abdou M.A., and Elhanbaly A. Appl Math Comput 177 (2006) 729-736
24. El-Wakil S.A., and Abdou M.A. New applications of Adomian decomposition method. Chaos, Solitons & Fractals 33 (2007) 513-522
25. Dehghan M. Math Comput Sim 71 1 (2006) 16-30
26. Kaya D., and Inan I.E. Appl Math Comput 151 (2004) 775-787
27. Zhu Y., Chang Q., and Wu S. Chaos, Solitons & Fractals 26 (2005) 407-413