Elliptic Equation and New Solutions to Nonlinear Wave Equations |
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| Authors: | FU Zun-Tao LIU Shi-Kuo LIU Shi-Da |
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| Affiliation: | 1. School of Physics, Laboratory for Severe Storm and Flood Disaster, 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 new solutions to elliptic equation are shown, and then theelliptic equation is taken as a transformation and is applied tosolve nonlinear wave equations. It is shown that more kinds ofsolutions are derived, such as periodic solutions of rationalform, solitary wave solutions of rational form, and so on. |
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| Keywords: | elliptic equation Jacobi elliptic function nonlinear equation periodic wave solution rational form |
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