摘要
利用联系3个位势的2×2矩阵谱问题,对一个广义耦合mKdV方程建立了Darboux变换.应用Darboux变换和符号计算获得了该广义耦合mKdV方程的N孤立子解.
A Darboux transformation for a generalized coupled modified Korteweg-de Vries equation is established with the aid of the gauge transformation between the corresponding 2×2 matrix spectral problem with three potentials.As an application of the Darboux transformation,N-soliton solutions of the generalized coupled modified Korteweg-de Vries equation are obtained by symbolic computation.
出处
《内蒙古师范大学学报（自然科学汉文版）》
北大核心
2012年第5期449-455,473,共8页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
Project Supported by the Natural Science Foundation of China(11261037)
the High Education Science Research Program of China(211034)
the High Education Science Research Program of Inner Mongolia Autonomous Region,China(NJ10045)
关键词
孤立子解
广义耦合mKdV方程
DARBOUX变换
soliton solution
generalized coupled modified Korteweg-de Vries equation
Darboux transformation
