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Exact Jacobian Elliptic Function Solutions to sine-Gordon Equation
Authors:FU Zun-Tao  YAO Zhen-Hua  LIU Shi-Kuo  LIU Shi-Da
Affiliation:1. School of Physics & Laboratory for Severe Storm and FloodDisaster, Peking University, Beijing 100871, China;2. State Key Laboratory for Turbulence and Complex Systems,Peking University, Beijing 100871, China
Abstract:In this paper, four transformations are introduced to solve singlesine-Gordon equation by using the knowledge of elliptic equationand Jacobian elliptic functions. It is shown that differenttransformations are required in order to obtain more kinds ofsolutions to the single sine-Gordon equation.
Keywords:Jacobian elliptic function   periodic wave solution   transformation   sine-Gordonequation   
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