[1]温振庶.耦合的修正变系数KdV方程的非线性波解[J].华侨大学学报(自然科学版),2014,35(5):597-600.[doi:10.11830/ISSN.1000-5013.2014.05.0597]
 WEN Zhen-shu.Nonlinear Wave Solutions for a Coupled Modified KdV Equation with Variable Coefficients[J].Journal of Huaqiao University(Natural Science),2014,35(5):597-600.[doi:10.11830/ISSN.1000-5013.2014.05.0597]
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耦合的修正变系数KdV方程的非线性波解()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第35卷
期数:
2014年第5期
页码:
597-600
栏目:
出版日期:
2014-09-20

文章信息/Info

Title:
Nonlinear Wave Solutions for a Coupled Modified KdV Equation with Variable Coefficients
文章编号:
1000-5013(2014)05-0597-04
作者:
温振庶
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
WEN Zhen-shu
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
KdV方程 非线性波解 变系数 F-展开法
Keywords:
KdV equation nonlinear wave solution variable coefficients F-expansion method
分类号:
O175.29
DOI:
10.11830/ISSN.1000-5013.2014.05.0597
文献标志码:
A
摘要:
研究一个带变系数的耦合修正KdV方程的非线性波解,利用F-展开法获得多种非线性波解,这些解包括孤立波解、扭波解(反扭波解)、爆破解和周期爆破解.带变系数的耦合修正KdV方程具有扭波解(反扭波解),而对于带变系数的耦合KdV方程,却未得到.这个结果与修正KdV方程和KdV方程的情形是类似的.
Abstract:
In this paper, we study a coupled modified KdV equation with variable coefficients by exploiting F-expansion method and obtain multifarious explicit nonlinear wave solutions, which include solitary wave solutions, kink(or antikink)wave solutions, blow-up solutions and periodic blow-up solutions. The coupled modified KdV equation with variable coefficients possesses kink(or antikink)wave solutions, however, for the coupled KdV equation with variable coefficients, kink(or antikink)wave solutions have not been obtained. This result is similar with that of MKdV equation and KdV equation.

参考文献/References:

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相似文献/References:

[1]温振庶.经典的Drinfel’d-Sokolov-Wilson方程的非线性波解[J].华侨大学学报(自然科学版),2016,37(4):519.[doi:10.11830/ISSN.1000-5013.201604026]
 WEN Zhenshu.Nonlinear Wave Solutions for the Classical Drinfel’d-Sokolov-Wilson Equation[J].Journal of Huaqiao University(Natural Science),2016,37(5):519.[doi:10.11830/ISSN.1000-5013.201604026]

备注/Memo

备注/Memo:
收稿日期: 2014-02-28
通信作者: 温振庶(1984-),男,讲师,主要从事微分方程与动力系统的研究.E-mail:wenzhenshu@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11326163); 华侨大学高层次人才科研启动项目(12BS223)
更新日期/Last Update: 2014-09-20