Solving Nonlinear Wave Equations by Elliptic Equation |
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Authors: | FU Zun-Tao LIU Shi-Da LIU Shi-Kuo |
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Affiliation: | 1. School of Physics, Peking University, Beijing 100871, China;2. State Key Laboratory for Turbulence and Complex System,Peking University, Beijing 100871, China |
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Abstract: | The elliptic equation is taken as a transformation and applied to solve nonlinear wave equations. It is shown that this method is more powerful to give more kinds of solutions, such as rational solutions, solitary wave solutions,periodic wave solutions and so on, so it can be taken as a generalized method. |
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Keywords: | elliptic equation Jacobi elliptic function nonlinear equation periodic wave solution |
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