| 非线性Klein-Gordon方程的周期波解 |
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| 引用本文： | 杨立娟,杜先云. 非线性Klein-Gordon方程的周期波解[J]. 聊城师院学报, 2009, 0(1): 13-17 |
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| 作者姓名： | 杨立娟 杜先云 |
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| 作者单位： | 绵阳师范学院数学与计算机科学学院,四川绵阳621000 |
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| 基金项目： | 国家自然科学基金资助项目（10771041） |
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| 摘 要： | 利用构造新的辅助方程组,求出了两种形式的Klein-Gordon方程的大量的Jacobi椭圆函数形式的周期波解的精确表达式.同时,研究了解的极限情况,得到了方程的孤立波解.这种方法也可用于寻找其它非线性发展方程的新的精确解.
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| 关 键 词： | Klein-Gordon方程 周期波解 辅助方程 |
Periodic Wave Solutions of Nonlinear Klein-Gordon Equations |
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| YANG Li-juan,DU Xian-yun. Periodic Wave Solutions of Nonlinear Klein-Gordon Equations[J]. Journal of Liaocheng Teachers University(Natural Science Edition), 2009, 0(1): 13-17 |
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| Authors: | YANG Li-juan DU Xian-yun |
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| Affiliation: | (School of Mathematics and Computer Science,Mianyang Normal University,Mianyang 621000,China) |
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| Abstract: | In this paper,using new auxiliary equations,a diversity of exact periodic wave solutions in terms of the Jacobi elliptic functions are obtained for two forms of nonlinear Klein-Gordon equation. Moreover, limit cases are studied, and solitary wave solutions are got. This method can be used to find new exact solutions to other nonlinear evolution equations. |
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| Keywords: | Klein-Gordon equation periodic wave solution auxiliary equation |
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