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New Doubly Periodic Solutions for the Coupled Nonlinear Klein-Gordon Equations
Authors:LIU Chun-Ping
Institution:Institute of Mathematics, Yangzhou University, Yangzhou 225002, China
Abstract:By using the general solutions of a new coupled Riccati equations, a direct algebraic method is described to construct doubly periodic solutions (Jacobi elliptic function solution) for the coupled nonlinear Klein-Gordon equations.It is shown that more doubly periodic solutions and the corresponding solitary wave solutions and trigonometric function solutions can be obtained in a unified way by this method.
Keywords:nonlinear Klein-Gordon equation  coupled Riccati equations  doubly periodic solution  algebraic method
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