| 一般变换下Klein-Gordon方程新的精确解 |
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| 引用本文： | 吴国将,韩家骅,史良马.一般变换下Klein-Gordon方程新的精确解[J].安徽大学学报(自然科学版),2006,30(1):20-23. |
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| 作者姓名： | 吴国将 韩家骅 史良马 |
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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： | 安徽省科技厅年度重点基金资助项目（01041188）;安徽省省级重点课程“普通物理”建设基金资助项目 |
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| 摘 要： | 将行波变换下修正的双Jacob i椭圆函数展开法推广到范围非常广泛的一般函数变换下进行,利用这一方法求得了K le in-Gordon方程的更多新的周期解,补充了前面研究的结果.当模m→1或m→0时,这些解退化为相应的孤波解、三角函数解和奇异的行波解.
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| 关 键 词： | Jacobi椭圆函数展开法 非线性发展方程 函数变换 周期解 |
| 文章编号： | 1000-2162（2006）01-0020-04 |
| 收稿时间： | 2005-06-05 |
| 修稿时间： | 2005-06-05 |
The new exact solutions to Klein-Gordon equation under a general function transform |
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| WU Guo-jiang,HAN Jia-Hua,SHI Liang-ma.The new exact solutions to Klein-Gordon equation under a general function transform[J].Journal of Anhui University(Natural Sciences),2006,30(1):20-23. |
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| Authors: | WU Guo-jiang HAN Jia-Hua SHI Liang-ma |
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| Institution: | School of Physics and Material Science,Anhui University, Hefei 230039,China |
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| Abstract: | A modified double Jacobian elliptic function expansion method under a general function transform,which is more general than the Jacobian elliptic function expansion method under a traveling wave transform,is proposed to construct the exact periodic solutions of nonlinear evolution equation. It is shown that some new exact periodic solutions of nonlinear Klein-Gordon equation are obtained by using this method and the known results of the Klein-Gordon equation are replenished.When the modulus m→1 or m→0,these solutions degenerate into homologous separate wave solution,trigonometric function solution and strange traveling wave solution. |
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| Keywords: | Jacobian elliptic function expansion method nonlinear evolution equation function transform periodic solution |
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