| 一个(2+1)-维浅水波方程的精确解 |
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| 引用本文： | 魏含玉,童艳春,宋晓华.一个(2+1)-维浅水波方程的精确解[J].周口师范学院学报,2012,29(5):23-25,31. |
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| 作者姓名： | 魏含玉 童艳春 宋晓华 |
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| 作者单位： | 1. 周口师范学院数学与信息科学系,河南周口,466001
2. 上蔡县第二高级中学,河南上蔡,463800 |
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| 基金项目： | 周口师范学院青年科研基金资助项目 |
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| 摘 要： | 主要考虑一个浅水波方程,介绍了有关孤子理论和双线性算子的定义,通过变量代换,将孤子方程化为双线性形式的微分方程,再从方程的双线性导数形式出发,利用摄动法得到了孤子方程的n-孤子解.最后又求出它另外一种形式的Wronsky-解.
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| 关 键 词： | Hirota方法 双线性算子 摄动法 Wronsky-解 |
The explicit solutions of a shallow wave equation |
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| WEI Hanyu,TONG Yanchun,SONG Xiaohua.The explicit solutions of a shallow wave equation[J].Journal of Zhoukou Normal University,2012,29(5):23-25,31. |
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| Authors: | WEI Hanyu TONG Yanchun SONG Xiaohua |
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| Institution: | 1.Department of Mathematics and Information Science,Zhoukou Normal University, Zhoukou 466001;2.Shangcai Second High School,Shangcai 463800,China) |
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| Abstract: | In this paper,we consider a shallow wave equation,introduce the background knowledge about the soliton theory and the essentials of Hirota’s method,through a proper transformation,the soliton equation can be transformed into bilinear differential equations.Next,we obtained the exact n-Soliton solution by the perturbation method.finally,we get another type solution-Wronsky. |
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| Keywords: | Hirota method bilinear operator perturbation method solution-Wronsky |
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