Interactions Between Solitons and Cnoidal Periodic Waves of the Boussinesq Equation |
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Authors: | YANG Duo LOU Sen-Yue YU Wei-Feng |
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Institution: | 1. Faculty of Science, Ningbo University, Ningbo 315211, China;
2. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China |
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Abstract: | The Boussinesq equation is one of important prototypic models in nonlinear physics. Various nonlinear excitations of the Boussinesq equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this peper, two equivalent very simple methods, the truncated Painlevé analysis and the generalized tanh function expansion approaches, are developed to find interaction solutions between solitons and any other types of Boussinesq waves. |
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Keywords: | interaction soliton cnoidal periodic waves Boussinesq equation |
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