Application of (G′/G)-expansion method to Regularized Long Wave (RLW) equation

Computers and Mathematics with Applications

Volumn 61, Issue 8, 2011, Pages 2044-2047

  Kabir, M M ^a   Borhanifar, A ^b   Abazari, R ^c  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b UNIVERSITY OF MOHAGHEGH ARDABILI   (Iran)

^c ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

(G G) expansion method; Hyperbolic function solutions; Regularized Long Wave (RLW) equation; Trigonometric function solutions

Indexed keywords

ENGINEERING PROBLEMS; EXPANSION METHODS; LINEAR FUNCTIONS; MATHEMATICAL PHYSICS; MATHEMATICAL TOOLS; NONLINEAR WAVE EQUATION; REGULARIZED LONG WAVE EQUATION; SOLITON SOLUTIONS; TRIGONOMETRIC FUNCTION SOLUTIONS;

EXPANSION; FUNCTION EVALUATION; NONLINEAR EQUATIONS; SOLITONS; WAVE EQUATIONS;

HYPERBOLIC FUNCTIONS;

EID: 79953750833     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.08.064     Document Type: Article

References (30)

1. A. Borhanifar, and R. Abazari Numerical study of nonlinear Schrdinger and coupled Schrdinger equations by differential transformation method Opt. Commun. 283 2010 2026 2031
2. J.H. He A coupling method of a homotopy technique and a perturbation technique for non-linear problems Internat. J. Non-Linear Mech. 35 2000 37 43
3. J.H. He New interpretation of homotopy perturbation method Int. J. Mod. Phys. B 20 18 2006 2561 2568
4. J.H. He Application of homotopy perturbation method to nonlinear wave equations Chaos Solitons Fractals 26 3 2005 695 700
5. J.H. He Variational iteration methoda kind of non-linear analytical technique: some examples Internat. J. Non-Linear Mech. 34 4 1999 699
6. J.H. He Variational iteration methodSome recent results and new interpretations J. Comput. Appl. Math. 207 2007 3 17
7. J.H. He, G.-C. Wu, and F. Austin The variational iteration method which should be followed Nonlinear Sci. Lett. A 1 1 2010 1 30
8. J.H. He, and D.H. Shou Application of parameter-expanding method to strongly nonlinear oscillators Int. J. Nonlinear Sci. Numer. Simul. 8 2007 121 124
9. J.H. He, and X.H. Wu Exp-function method for nonlinear wave equations Chaos Solitons Fractals 30 3 2006 700 708
10. X.H. Wu, and J.H. He Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method Comput. Math. Appl. 54 2007 966 986
11. J.H. He, and F. Xu Nonlinearity as a sensitive informative marker in the ENSO model Comput. Math. Appl. 2009 10.1016/j.camwa.2009.03.067
12. M.M. Kabir, and A. Khajeh New explicit solutions for the Vakhnenko and a generalized form of the nonlinear heat conduction equations via Exp-function method Int. J. Nonlinear Sci. Numer. Simul. 10 10 2009 1307 1318
13. A. Borhanifar, M.M. Kabir, and Maryam Vahdat Lasemi New periodic and soliton wave solutions for the generalized Zakharov system and (2+1)-dimensional NizhnikNovikovVeselov system Chaos Solitons Fractals 42 2009 1646 1654
14. A. Borhanifar, and M.M. Kabir New periodic and soliton solutions by application of Exp-function method for nonlinear evolution equations J. Comput. Appl. Math. 229 2009 158 167
15. M.M. Kabir, A. Khajeh, E. Abdi Aghdam, A. Yousefi Koma, Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations, Math. Methods Appl. Sci. (2010) (in press) doi:10.1002/mma.1349.
16. S.A. El-Wakil, M.A. Abdou, and A. Hendi New periodic wave solutions via Exp-function method Phys. Lett. A 372 2008 830 840
17. A. Khajeh, M.M. Kabir, A. Yousefi Koma, New exact and explicit travelling wave solutions for the coupled Higgs equation and a nonlinear variant of the PHI-four equation, Int. J. Nonlinear Sci. Numer. Simul. (2010) (in press).
18. M.J. Ablowitz, and H. Segur Solitons and Inverse Scattering Transform 1981 SIAM Philadelphia
19. H. Jafari, A. Borhanifar, and S.A. Karimi New solitary wave solutions for the bad Boussinesq and good Boussinesq equations Numer. Methods Partial Differential Equations 25 5 2009 1231 1237
20. A.M. Wazwaz A sinecosine method for handling nonlinear wave equations Math. Comput. Modelling 40 2004 499 508
21. A.M. Wazwaz Exact solutions of compact and noncompact structures for the KPBBM equation Appl. Math. Comput. 169 2005 700 712
22. A.M. Wazwaz The extended tanh method for the Zakharov Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms Commun. Nonlinear Sci. Numer. Simul. 13 6 2008 1039
23. G ′G ) -expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics Phys. Lett. A 372 2008 417 423
24. G ′G ) -expansion to travelling wave solutions of the BroerKaup and the approximate long water wave equations Appl. Math. Comput. 206 2008 321 326
25. G ′G ) -expansion method J. Math. Phys. 50 2009 013519
26. G ′G ) -expansion method for finding traveling wave solutions of nonlinear partial differential equations in mathematical physics J. Math. Phys. 50 2008 013502
27. G ′G ) -expansion method by using higher-order nonlinear equations Appl. Math. Comput. 211 2009 531 536
28. G ′G ) -expansion method for nonlinear evolution equations Phys. Lett. A 372 2008 3400 3406
29. A. Bekir, A.C. Cevikel, New exact travelling wave solutions of nonlinear physical models, Chaos Solitons Fractals doi:10.1016/j.chaos.2008.07.017.
30. G ′G ) -expansion method Nonlinear Sci. Lett. A 1 3 2010 219 238