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A New Approach to Solve Nonlinear Wave Equations
Authors:FU Zun-Tao  LIU Shi-Kuo  LIU Shi-Da
Affiliation:School of Physics, Peking University, Beijing 100871, China
Abstract:From the nonlinear sine-Gordon equation, new transformations are obtained in this paper, which are applied to propose a new approach to construct exact periodic solutions to nonlinear wave equations. It is shown that more new periodic solutions can be obtained by this new approach, and more shock wave solutions or solitary wave solutions can be got under their limit conditions.
Keywords:sine-Gordon equation  Jacobi elliptic function  nonlinear wave equation  periodic wave solution  solitary wave solution
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