| 双线性导数方法求解KdV-mKdV混合方程 |
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| 引用本文： | 林麦麦,段文山,吕克璞.双线性导数方法求解KdV-mKdV混合方程[J].西北师范大学学报,2007,43(5):31-34. |
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| 作者姓名： | 林麦麦 段文山 吕克璞 |
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| 作者单位： | 西北师范大学物理与电子工程学院 甘肃兰州730070 |
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| 摘 要： | 利用双线性导数方法求解KdV-mKdV混合方程,得到其单孤立子解、双孤立子解以及n孤立子解的解析表达式.运用数学软件对KdV-mKdV混合方程的非线性色散关系进行了分析,并通过波形图像展示了其单孤立子解、双孤立子解的相互作用过程.
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| 关 键 词： | KdV-mKdV混合方程 双线性导数方法 n孤子解 |
| 文章编号： | 1001-988X（2007）05-0031-04 |
| 修稿时间： | 2006-12-19 |
Solving the KdV-mKdV equation by the bilinear derivative method |
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| LIN Mai-mai,DUAN Wen-shan,L Ke-pu.Solving the KdV-mKdV equation by the bilinear derivative method[J].Journal of Northwest Normal University Natural Science (Bimonthly),2007,43(5):31-34. |
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| Authors: | LIN Mai-mai DUAN Wen-shan L Ke-pu |
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| Institution: | College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | The bilinear derivative method is used to solve the KdV-mKdV equation.The exact expressions of one-soliton,two-soliton and n-soliton solutions for the KdV-mKdV equation are obtained respectively.With the help of Mathematica,the nonlinear dispersion relation of KdV-mKdV equation is displayed.Moreover,some kinds of special processes of one-soliton and two-soliton are plotted respectively. |
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| Keywords: | KdV-mKdV equation bilinear derivative method n-soliton solution |
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