Traveling Wave Solutions of the Nonlinear ( 3 + 1 ) -Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables ( ð º â€² / ð º, 1 / ð º ) -Expansion Method

E. M. E. Zayed, S. A. Hoda Ibrahim and M. A. M. Abdelaziz

Journal of Applied Mathematics, 2012, vol. 2012, 1-8

Abstract:

The two variables ( ð º î…ž / ð º , 1 / ð º ) -expansion method is proposed in this paper to construct new exact traveling wave solutions with parameters of the nonlinear ( 3 + 1 ) -dimensional Kadomtsev-Petviashvili equation. This method can be considered as an extension of the basic ( ð º î…ž / ð º ) -expansion method obtained recently by Wang et al. When the parameters are replaced by special values, the well-known solitary wave solutions and the trigonometric periodic solutions of this equation were rediscovered from the traveling waves.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:560531

DOI: 10.1155/2012/560531

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