Exact Periodic Solitary Solutions to the Shallow Water Wave Equation |
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| Authors: | LI Dong-Long ZHAO Jun-Xiao |
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| Affiliation: | Department of Information and Computation Science, Guangxi University of Technology, Liuzhou 545006Institute of Applied Physics and Computational Mathematics, Beijing 100088School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049 |
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| Abstract: | Exact solutions to the shallow wave equation are studied based on the idea of the extended homoclinic test and bilinear method. Some explicit solutions, such as the one soliton solution, the doubly-periodic wave solution and the periodic solitary wave solutions, are obtained. In addition, the properties of the solutions are investigated. |
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| Keywords: | 47.35.Fg 05.45.Yv |
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