New periodic and soliton solutions by application of Exp-function method for nonlinear evolution equations

Journal of Computational and Applied Mathematics

Volumn 229, Issue 1, 2009, Pages 158-167

  Borhanifar, A ^a   Kabir, M M ^a  

^a UNIVERSITY OF MOHAGHEGH ARDABILI   (Iran)

Author keywords

(2 + 1) dimensional Potential Kadomtsev Petviashvili (PKP) equation; Exp function method; Kaup Kupershmidt equation; Periodic solutions; Soliton; Traveling wave solution

Indexed keywords

(2 + 1)-DIMENSIONAL POTENTIAL KADOMTSEV-PETVIASHVILI (PKP) EQUATION; EXP-FUNCTION METHOD; KAUP-KUPERSHMIDT EQUATION; PERIODIC SOLUTIONS; TRAVELING WAVE SOLUTION;

SOLITONS;

NONLINEAR EQUATIONS;

EID: 65049085933     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2008.10.052     Document Type: Article

References (25)

1. Burden R.L., and Faires J.D. Numerical Analysis (1993), PWS Publishing Company, Boston
2. Kaya D., and El-Sayed S.M. On a generalized fifth order KdV equations. Physics Letters A 310 (2003) 44-51
3. He J.H. Asymptotology by homotopy perturbation method. Applied Mathematics and Computation 156 (2006) 591-596
4. He J.H. Variational iteration method for autonomous ordinary differential systems. Applied Mathematics and Computation 114 (2005) 115-123
5. He J.H. Comparison of homotopy perturbation method and homotopy analysis method. Applied Mathematics and Computation 156 (2004) 527-539
6. He J.H. A coupling method of a homotopy technique and a perturbation technique for non-linear problems. International Journal of Non-Linear Mechanics 35 (2000) 37-43
7. He J.H. Application of homotopy perturbation method to nonlinear wave equations. Chaos, Solitons & Fractals 26 (2005) 695-700
8. He J.H. Homotopy perturbation method: A new nonlinear analytical technique. Applied Mathematics and Computation 156 (2004) 591-596
9. H.X. Wu, J.H. He, Solitary solutions periodic solutions and compacton-like solutions using EXP-function method, Computers & Mathematics with Applications (2007) (in press)
10. He J.H., and Wu X.H. Exp-function method for nonlinear wave equations. Chaos, Solitons & Fractals 30 (2006) 700-708
11. Ji-Huan He, Li-Na Zhang, Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method, Physics Letters A (2007) (in press)
12. J.H. He, Non-Perturbative method for strongly nonlinear problems. Berlin: Dissertation. De-Verlag im Internet GmbH. 2006
13. H.X. Wu, J.H. He, Exp-function method and its application to nonlinear equations, Chaos, Solitons & Fractals (2007) (in press)
14. He J.-H., and Abdou M.A. New periodic solutions for nonlinear evolution equations using Exp-function method. Chaos, Solitons & Fractals 34 (2007) 1421-1429
15. Zhu S.D. Exp-function method for the hybrid-lattice system. International Journal of Nonlinear Science and Numerical Solution 8 3 (2007) 461-464
16. Zhu S.D. Exp-function method for the discrete mKdV lattice. International Journal of Nonlinear Science and Numerical Solution 8 3 (2007) 465-468
17. S. Zhang, Application of Exp-function method to high-dimensional nonlinear evolution equation, Chaos, Solitons & Fractals (2006) (in press)
18. Waz waz A.-m. The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations. Applied Mathematics and Computation 184 (2007) 1002
19. Abundant solitons solutions for several forms of the fifth-order KdV equations by using the tanh method. Applied Mathematics and Computaion 182 (2006) 283
20. Qasem M., Al-Mdallal, and Syam M.I. Sine-Cosine method for finding the soliton Solutions of the generalized fifth-order nonlinear equation. Chaos, Solitons & Fractals 33 (2007) 1610-1617
21. Parker A. On soliton solutions of the Kaup-Kupershmidt equation. I. Direct bilinearisation and solitary wave. Physica D 137 (2000) 25-33
22. Changbum Chun, Solitons and periodic solutions for the fifth-order KdV equation with the Exp-function method, Physics Letters A (in press)
23. Kaya D., and El-Sayed S.M. Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method. Physics Letters A 320 (2003) 192-199
24. Senthilvelan M. Applied Mathematics and Computation 123 (2001) 381
25. Inan I.E., and Kaya D. Some exact solutions to the potential Kadomtsev petviashvili equation and to a system of shallow water wave equations. Physics Letters. A 355 (2006) 314