Bifurcations and exact solutions for a nonlinear surface wind waves equation |
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| Authors: | Yongan Xie Shengqiang Tang Liyan Zhong Ai‐yong Chen |
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| Institution: | School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin, Guangxi, China |
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| Abstract: | By using the method of dynamical systems, for the nonlinear surface wind waves equation, which is given by Manna, we study its dynamical behavior to determine all exact explicit traveling wave solutions. To guarantee the existence of the aforementioned solutions, all parameter conditions are determined. Our procedure shows that the nonlinear surface wind waves equation has no peakon solution. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | static compacton solution periodic wave solution unbounded wave peakon nonlinear surface wind waves equation |
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