Kersten-Krasil’shchik耦合KdV-mKdV方程的达布-贝克隆变换  

Darboux-Bäcklund transformation for the Kersten-Krasil’shchik coupled KdV-mKdV system

作　　者：高鹏[1] 薛玲玲 GAO Peng;XUE Lingling(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2021年第3期30-34,共5页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(11501312);宁波大学王宽诚幸福基金.

摘　　要：从矩阵形式的线性系统出发,构造了Kersten-Krasil’shchik耦合KdV-mKdV方程的达布变换和相应的贝克隆变换,并由一对达布-贝克隆变换的相容性得到了非线性叠加公式.Starting from the matrix linear system,a Darboux transformation and the related Bäcklund transformation for the Kersten-Krasil’shchik coupled KdV-mKdV system are conducted.Based on the compatibility of a pair of Darboux-Bäcklund transformations,a nonlinear superposition formula is also obtained.

关 键 词：Kersten-Krasil’shchik耦合KdV-mKdV方程 达布变换 贝克隆变换 非线性叠加公式 

分 类 号：O175[理学—数学]