APPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION

Subject Areas : Operation Research

Z.  آیتی ¹ (DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN)
ج.  بی آزار ² (DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN)

Received: 2009-04-11 Accepted : 2009-06-07 Published : 2010-07-01

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References:

[1] Wazwaz A. M., The Tanh method: Exact solutions of the Sine–Gordon and Sinh–Gordon equations, Appl. Math. Comput. 167, 1196–1210, 2005.

[2] Iet M., Hereman W., The tanh method: I. Exact solutions of nonlinear evolution and wave equations, Phys. Scr., 54:563–8, 1996.    

 [3] Wazwaz A. M., The tanh and the sine–cosine methods for a reliable treatment of the modified equal width equation and its variants, Commun. Nonlinear Sci. Numer. Simul., 11, 148–160, 2006. 

[4] Biazar J., Ghazvini H., Exact solutions for non-linear Schrödinger equations by He’s homotopy perturbation method Physics Letters A 366, 79-84, 2007.

[5] He J. H., Application of homotopy perturbation method to nonlinear wave equations, Chaos Solitons Fractals 26, 695–700, 2005.

[6] He J. H., Variational iteration method—a kind of non-linear analytical technique: some examples, Int. J. Nonlinear Mech. 34, 699–708, 1999.

[7] He J. H., Variational iteration method for autonomous ordinary differential systems, Appl. Math. Comput. 114, 115–123, 2000.

[8] Biazar J., Babolian E., Nouri A., and Islam R., An alternate algorithm for computing Adomian Decomposition method in special cases, Applied Mathematics and Computation 38 (2-3), 523- 529, 2003.

[9] He J. H., Wu, X.H., Exp-function method for nonlinear wave equations, Chaos Solitons Fractals 30, 700–708, 2006.

[10] Zhang S., Application of Exp-function method to a KdV equation with variable coefficients, Phys. Lett. A, 365, 448–453, 2007.

[11] Ebaid Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method, Phys.Lett. A 365, 213–219, 2007.

[12] Zhu S. D., Exp-function method for the hybrid-lattice system, Int. J. Nonlinear Sci. Numer. Simul. 8,461–464, 2007.

[13] Zhu S. D., Exp-function method for the discrete mKdV lattice, Int. J. Nonlinear Sci. Numer. Simul., 8 ,465–469, 2007.

[13] Biazar J., Ayati Z., Application of Exp-function method to Equal-width wave equation, Physica Scripta, 78 045005, 2008.

[14] Wazwaz A. M., New solutions of distinct physical structures to high-dimensional nonlinear evolution equations, Appl. Math. Comput. 196, 363-370, 2008.

[15] Wazwaz A. M., Multiple-soliton solutions for the Calogero – Bogoyavlenskii-schiff, Jimbo- Miuva and YTSF equations, Appl. Math. Comput, 203, 592-597, 2008.