A Method for Constructing Traveling Wave Solutions to Nonlinear Evolution Equations |
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Authors: | Juhong Ge Cuncai Hua Zhaosheng Feng |
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Institution: | (1) Department of Mathematics, Yunnan Normal University, Kunming, 650031, China;(2) Department of Mathematics, University of Texas–Pan American, Edinburg, TX 78539, USA; |
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Abstract: | In this paper, an analytical method is proposed to construct explicitly exact and approximate solutions for nonlinear evolution
equations. By using this method, some new traveling wave solutions of the Kuramoto-Sivashinsky equation and the Benny equation
are obtained explicitly. These solutions include solitary wave solutions, singular traveling wave solutions and periodical
wave solutions. These results indicate that in some cases our analytical approach is an effective method to obtain traveling
solitary wave solutions of various nonlinear evolution equations. It can also be applied to some related nonlinear dynamical
systems. |
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Keywords: | |
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