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Direct Approach to Construct the Periodic Wave Solutions for Two Nonlinear Evolution Equations |
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| Authors: | CAI Ke-Jie TIAN Bo ZHANG Huan MENG Xiang-Hua |
| Affiliation: | 1.School of Science, P.O. Box 122, Beijing University of Posts and;Telecommunications, Beijing 100876, China;2.State Key Laboratory of Software Development Environment, Beijing;University of Aeronautics and Astronautics, Beijing 100191, China;3.Key Laboratory of Information Photonics and Optical Communications,;Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China |
| Abstract: | With symbolic computation, the Hirota method and Riemann theta function are employed to directly construct the periodic wave solutions for the Hirota-Satsuma equation for shallow water waves and Boiti-Leon-Manna-Pempinelli equation. Then, the corresponding figures of the periodic wave solutions are given. Furthermore, it is shown that the known soliton solutions can be reduced from the periodic wave solutions. |
| Keywords: | periodic wave solutions Hirota-Satsuma equation for shallow water waves Boiti-Leon-Manna-Pempinelli equation Hirota method Riemann theta function |
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