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| Lamé函数和非线性演化方程的新多级准确解 | |
| 引用本文： | 薛海丽,肖亚峰,张鸿庆.Lamé函数和非线性演化方程的新多级准确解[J].数学的实践与认识,2012,42(1):227-233. |
| 作者姓名： | 薛海丽 肖亚峰 张鸿庆 |
| 作者单位： | 1. 中北大学软件学院,山西太原,030051 2. 中北大学数学系,山西太原,030051 3. 大连理工大学数学科学学院,辽宁大连,116024 |
| 基金项目： | 国家自然科学基金青年基金(10901145);中北大学校基金 |
| 摘 要： | 基于Lamé方程和新的Lamé函数,应用摄动方法和Jacobi椭圆函数展开法求解非线性演化方程,获得多种新的多级准确解.这些解在极限条件下可以退化为各种形武的孤波解. |
| 关 键 词： | 非线性演化方程 多级准确解 摄动方法 Lame函数 Jacobi椭圆函数 |
Lamé Function and New Multi-Order Exact Solutions to the Nonlinear Evolution Equations |
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| XUE Hai-li , XIAO Ya-feng , ZHANG Hong-qing.Lamé Function and New Multi-Order Exact Solutions to the Nonlinear Evolution Equations[J].Mathematics in Practice and Theory,2012,42(1):227-233. | |
| Authors: | XUE Hai-li XIAO Ya-feng ZHANG Hong-qing |
| Institution: | 1.Software School,North University of China,Taiyuan 030051,China) (2.Department of Mathematics,North University of China,Taiyuan 030051,China) (3.School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China) |
| Abstract: | Based on the Lame equation and new Lame functions,the perturbation method and Jacobi elliptic function expansion method are applied to get the multi-order exact solutions of the nonlinear evolution equations,where some new multi-order exact solutions are found among the nonlinear evolution equations.These multi-order exact solutions can degenerate into the different solitary solutions. |
| Keywords: | nonlinear evolution equations multi-order exact solutions perturbation method Lame function Jacobi elliptic function |
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