The Two-Variable ( ð º â€² / ð º, 1 / ð º ) -Expansion Method for Solving the Nonlinear KdV-mKdV Equation

E. M. E. Zayed and M. A. M. Abdelaziz

Mathematical Problems in Engineering, 2012, vol. 2012, 1-14

Abstract:

We apply the two-variable ( ð º î…ž / ð º , 1 / ð º )-expansion method to construct new exact traveling wave solutions with parameters of the nonlinear ( 1 + 1 )-dimensional KdV-mKdV equation. This method can be thought of as the generalization of the well-known ( ð º î…ž / ð º )-expansion method given recently by M. Wang et al. When the parameters are replaced by special values, the well-known solitary wave solutions of this equation are rediscovered from the traveling waves. It is shown that the proposed method provides a more general powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:725061

DOI: 10.1155/2012/725061

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