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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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31 December 2010

8 Pages

The Multi-Wave Method for Nonlinear Evolution Equations

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1
Department of Information and Computing Science, Guangxi University of Technology, 545006 Liuzhou, Guangxi, P.R. China
2
School of Mathematics and Statistics, Yunnan University, 650091 Kunming, P.R. China
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl.2010, 15(5), 776-783;https://doi.org/10.3390/mca15050776
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Abstract

The multi-wave method is proposed to find new exact solitary solutions of nonlinear evolution equations. The Caudrey-Dodd-Gibbon-Kaeada equation is employed as an example to illustrate the effectiveness of the suggested method and some new wave solutions with four different velocities and frequencies are obtained. Obviously, the method can be applied to solve other types of nonlinear evolution equations as well.

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