| 非线性Klein-Gordon方程的精确解 |
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| 引用本文： | 韩家骅,王军帽,张文亮,张睿,信春刚.非线性Klein-Gordon方程的精确解[J].安徽大学学报(自然科学版),2009,33(5). |
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| 作者姓名： | 韩家骅 王军帽 张文亮 张睿 信春刚 |
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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资助项目，安徽省省级精品课程基金 |
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| 摘 要： | 对文献1]中提出的方法进行了改进,简化了其结果,并利用该方法借助计算机代数系统求得了非线性 Klein-Gordon 方程一系列的精确解,包括孤波解和周期解.同时,这种方法也适用于其他的非线性方程.
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| 关 键 词： | 改进的方法 Klein-Gordon方程 孤波解 周期解 |
Exact solutions to the nonlinear Klein-Gordon equation |
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| HAN Jia-hua,WANG Jun-mao,ZHANG Wen-liang,ZHANG Rui,XIN Chun-gang.Exact solutions to the nonlinear Klein-Gordon equation[J].Journal of Anhui University(Natural Sciences),2009,33(5). |
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| Authors: | HAN Jia-hua WANG Jun-mao ZHANG Wen-liang ZHANG Rui XIN Chun-gang |
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| Institution: | HAN Jia-hua,WANG Jun-mao,ZHANG Wen-liang,ZHANG Rui,XIN Chun-gang (School of Physics , Material Science,Anhui University,Hefei 230039,China) |
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| Abstract: | In the paper,we have improved the method of ref.1] and applied it to the nonlinear Klein-Gordon equation,with the aid of the symbolic computation.As a result,more traveling wave solutions were obtained including periodic wave solutions and solitary wave solutions.It was shown that this improved method can also be used for solving other nonlinear partial differential equations. |
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| Keywords: | an improved method nonlinear Klein-Gordon equation periodic wave solutions solitary wave solutions |
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