| 新的函数展开法与非线性Klein-Gordon方程新的准确解 |
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| 引用本文： | 刘中飞,韩家骅,张文亮,吴国将.新的函数展开法与非线性Klein-Gordon方程新的准确解[J].安徽大学学报(自然科学版),2007,31(1):52-56. |
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| 作者姓名： | 刘中飞 韩家骅 张文亮 吴国将 |
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| 作者单位： | 安徽大学,出版社,安徽,合肥,230039;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： | 安徽省科技厅年度重点基金资助项目(01041188)，安徽省重点课程“普通物理学”建设基金资助项目 |
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| 摘 要： | 将耦合Riccati方程的解作为一种函数变换,并且应用这种函数变换求解非线性Klein-Gordon方程,从而可以获得许多包括孤波解在内的新的精确周期解.这种方法还可以用于求解其他非线性波动方程.
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| 关 键 词： | 耦合Riccati方程 非线性K1ein-Gordon方程 行波解 孤波解 |
| 文章编号： | 1000-2162（2007）01-0052-05 |
| 修稿时间： | 2005-12-11 |
A new function expansion method and new exact solutions to nonlinear Klein- Gordon equation |
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| LIU Zhong-fei,HAN Jia-hua,ZHANG Wen-liang,WU Guo-jiang.A new function expansion method and new exact solutions to nonlinear Klein- Gordon equation[J].Journal of Anhui University(Natural Sciences),2007,31(1):52-56. |
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| Authors: | LIU Zhong-fei HAN Jia-hua ZHANG Wen-liang WU Guo-jiang |
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| Institution: | 1.Press,Anhui University, Hefei 230039,China;2. School of Physics and Material Science, Anhui University, Hefei 230039,China |
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| Abstract: | In the paper,a transformation is introduced on basis of the projective Riccati equations,and it is applied as an intermediate in expansion method to solve nonlinear Klein-Gordon equation.Many kinds of travelling wave solutions including solitary wave solutions are obtained,in which some are found for the first time.Of course,this transformation used in the paper can also be applied to other nonlinear wave equations. |
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| Keywords: | projective Riccati equation nonlinear Klein-Gordon equation travelling wave solution solitary wave solution |
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