| (2+1)维KdV方程的周期波解和孤立波解 |
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| 引用本文： | 李晓燕,张令元,李保安,李向正.(2+1)维KdV方程的周期波解和孤立波解[J].兰州理工大学学报,2005,31(1):138-140. |
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| 作者姓名： | 李晓燕 张令元 李保安 李向正 |
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| 作者单位： | 1. 河南科技大学,数理系,河南,洛阳,471003
2. 上海电视大学,金融与会计系,上海,200092 |
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| 基金项目： | 河南省教育厅自然科学基础研究项目基金(2003110003) |
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| 摘 要： | 扩展了最近提出的F-展开法并用其求出了(2 1)维KdV方程的Jacobi椭圆函数表示的周期波解，在极限情况下得到了孤立波解和三角函数解．F-展开法作为Jacobi椭圆函数展开法的概括，还可以用来求解其它的非线性发展方程．
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| 关 键 词： | （2＋1）维KdV方程 齐次平衡原则 F-展开法 周期波解 Jacobi椭圆函数 孤立波解 |
| 文章编号： | 1000-5889(2005)01-0138-03 |
| 修稿时间： | 2004年2月16日 |
Periodic wave solutions and solitary wave solutions to(2+1)-dimensional KdV equation |
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| LI Xiao-yan,ZHANG Ling-yuan,LI Bao-an,LI Xiang-zheng.Periodic wave solutions and solitary wave solutions to(2+1)-dimensional KdV equation[J].Journal of Lanzhou University of Technology,2005,31(1):138-140. |
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| Authors: | LI Xiao-yan ZHANG Ling-yuan LI Bao-an LI Xiang-zheng |
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| Institution: | LI Xiao-yan~1,ZHANG Ling-yuan~2,LI Bao-an~1,LI Xiang-zheng~1 |
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| Abstract: | The F-expansion method proposed recently is extended and,by using it, the periodic wave solutions expressed by Jacobi elliptic functions to the (2+1)-dimensional KdV equation are obtained. In the limit cases, the solitary wave solutions and trigonometric function solutions are obtained as well. The F-expansion as an overall generalization of Jacobi elliptic function expansion can be applied to solve other nonlinear evolution equations. |
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| Keywords: | dimensional KdV equation homogeneous balance principle F-expansion method periodic wave solutions Jacobi elliptic functions solitary wave solutions |
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