New Doubly Periodic Solutions for the Coupled Nonlinear Klein-Gordon Equations |
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Authors: | LIU Chun-Ping |
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Affiliation: | Institute of Mathematics, Yangzhou University, Yangzhou 225002, China |
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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. |
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Keywords: | nonlinear Klein-Gordon equation coupled Riccati equations doubly periodic solution algebraic method |
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