Traveling Wave Solutions of the Nonlinear -Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables -Expansion Method-Reference-Cited by-同舟云学术

Traveling Wave Solutions of the Nonlinear -Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables -Expansion Method

Published:2012 Issue: Volume:2012 Page:1-8
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Zayed E. M. E.¹^ORCID,Hoda Ibrahim S. A.¹,Abdelaziz M. A. M.¹

Affiliation:

1. Mathematics Department, Faculty of Science, Zagazig University, Zagazig 44519, Egypt

Abstract

The two variables -expansion method is proposed in this paper to construct new exact traveling wave solutions with parameters of the nonlinear -dimensional Kadomtsev-Petviashvili equation. This method can be considered as an extension of the basic -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.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/560531.pdf

Reference36 articles.

1. Solitons, Nonlinear Evolution Equations and Inverse Scattering

2. Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

3. The Painlevé property for partial differential equations

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