The -Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations

E. M. E. Zayed and K. A. E. Alurrfi

Mathematical Problems in Engineering, 2014, vol. 2014, 1-20

Abstract:

The two variable -expansion method is employed to construct exact traveling wave solutions with parameters of two higher order nonlinear evolution equations, namely, the nonlinear Klein-Gordon equations and the nonlinear Pochhammer-Chree equations. When the parameters are replaced by special values, the well-known solitary wave solutions of these equations are rediscovered from the traveling waves. This method can be thought of as the generalization of well-known original -expansion method proposed by Wang et al. It is shown that the two variable -expansion method provides a more powerful mathematical tool for solving many other nonlinear PDEs in mathematical physics.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:746538

DOI: 10.1155/2014/746538

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