修正Camassa-Holm方程的可积推广及其可积性质  

The Integrable Coupled Generalization of Modified Camassa-Holm Equation and Its Integrable Properties

作　　者：洪建彬 吴红霞[1] HONG Jianbin;WU Hongxia(School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2019年第2期151-160,共10页Journal of Jimei University：Natural Science

基　　金：福建省自然科学基金项目(2017J01402);福建省高校青年自然基金重点项目(JZ160450)

摘　　要：通过修正的Camassa-Holm(modified Camassa-Holm,mCH)方程的可积推广,推导出带自相容源的修正Camassa-Holm方程(modified Camassa-Holm equation with self-consistent sources,mCHESCS)及其相应的Lax对。构造出该带源方程的无穷守恒律及其互反变换。基于mCHESCS的互反变换,求出mCHESCS的一些新解,如multisolition、multinegaton和multipositon解。By the integrable coupled generalization of modified Camassa-Holm (mCH) equation,the mCH equation with self-consistent sources (mCHESCS) and its related Lax pairs were derived.The infinite conservation laws of the mCHESCS were also constructed.By means of the presented reciprocal transformation of mCHESCS,some new solutions of mCHESCS such as multisolition,multinegaton and multipositon solutions were finally obtained.

关 键 词：带自相容源的修正Camassa-Holm方程 LAX对 无穷守恒律 互反变换 求解 

分 类 号：O175.29[理学—数学]