耦合的修正变系数KdV方程的非线性波解  

Nonlinear Wave Solutions for a Coupled Modified KdV Equation with Variable Coefficients

作　　者：温振庶 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2014年第5期597-600,共4页Journal of Huaqiao University(Natural Science)

基　　金：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)

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.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.

关 键 词：KDV方程 非线性波解 变系数 F-展开法 

分 类 号：O175.29[理学—数学]