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Solving Nonlinear Wave Equations by Elliptic Equation
Authors:FU Zun-Tao  LIU Shi-Da  LIU Shi-Kuo
Institution:1. School of Physics, Peking University, Beijing 100871, China ;2. State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, China
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.
Keywords:elliptic equation  Jacobi elliptic function  nonlinear equation  periodic wave solution
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