| 映射法与非线性波动方程新的精确解 |
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| 引用本文： | 张文亮,吴国将,张苗,王军帽,韩家骅. 映射法与非线性波动方程新的精确解[J]. 皖西学院学报, 2007, 23(2): 49-55 |
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| 作者姓名： | 张文亮 吴国将 张苗 王军帽 韩家骅 |
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| 作者单位： | 安徽大学,物理与材料科学学院,安徽,合肥,230039 |
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| 基金项目： | 安徽省自然科学基金;安徽省精品课程基金;安徽省信息材料与器件重点实验室(安徽大学)开放基金 |
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| 摘 要： | 本文运用映射法,结合辅助方程,利用计算机代数系统Mathematica求出了典型的非线性mKdV方程和Klein-Gordon方程的一系列新的精确周期解。该方法可以用来求解更多非线性方程。
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| 关 键 词： | 映射法 辅助方程 非线性演化方程 精确解 周期解 |
| 文章编号： | 1009-9735（2007）02-0049-07 |
| 修稿时间： | 2007-03-10 |
The Mapping Method and the New Exact Periodic Wave Solutions for Nonlinear Wave Equations |
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| Zhang Wenliang,Wu Guojiang,Zhang Miao,Wang Junmao,Han Jiahua. The Mapping Method and the New Exact Periodic Wave Solutions for Nonlinear Wave Equations[J]. Journal of Wanxi University, 2007, 23(2): 49-55 |
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| Authors: | Zhang Wenliang Wu Guojiang Zhang Miao Wang Junmao Han Jiahua |
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| Affiliation: | School of Physics and Material Science, Anhui University, Hefei,Anhui 230039, China |
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| Abstract: | In this paper,we make use of extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics,we obtain some new periodic wave solutions for mKdV and Klein-Gordon equation which can not be found by previous work.This method can also be used to find new periodic wave solutions of other nonlinear evolution equations. |
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| Keywords: | the mapping method auxiliary equation method nonlinear evolution equations exact solutions periodic wave solutions |
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