Elliptic Equation and Its Direct Applications to Nonlinear Wave Equations |
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| Authors: | FU Zun-Tao CHEN Zhe 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: | Elliptic equation is taken as an ansatz and applied to solvenonlinear wave equations directly. More kinds of solutions aredirectly obtained, such as rational solutions, solitary wavesolutions, periodic wave solutions and so on. It is shown thatthis method is more powerful in giving more kinds of solutions, soit 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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