| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Exact Periodic Solitary Solutions to the Shallow Water Wave Equation |
| LI Dong-Long1, ZHAO Jun-Xiao2,3 |
| 1Department of Information and Computation Science, Guangxi University of Technology, Liuzhou 5450062Institute of Applied Physics and Computational Mathematics, Beijing 1000883School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049 |
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LI Dong-Long, ZHAO Jun-Xiao 2009 Chin. Phys. Lett. 26 054701 |
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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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Received: 05 January 2009
Published: 23 April 2009
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