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[1]洪建彬,吴红霞.修正Camassa-Holm方程的可积推广及其可积性质[J].集美大学学报(自然科学版),2019,24(2):151-160.
　HONG Jianbin,WU Hongxia.The Integrable Coupled Generalization of Modified Camassa-Holm Equation and Its Integrable Properties[J].Journal of Jimei University,2019,24(2):151-160.
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修正Camassa-Holm方程的可积推广及其可积性质(PDF)
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第24卷
期数:
2019年第2期
页码:
151-160
栏目:
数理科学与信息工程
出版日期:
2019-03-28

文章信息/Info

Title:
The Integrable Coupled Generalization of Modified Camassa-Holm Equation and Its Integrable Properties
作者:
洪建彬; 吴红霞
（集美大学理学院，福建 厦门 361021）
Author(s):
HONG Jianbin; WU Hongxia
(School of Science,Jimei University,Xiamen 361021,China)
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
Keywords:
mCHESCS; Lax pair; infinite conservation law; reciprocal transformation; solutions
分类号:
-
DOI:
-
文献标志码:
A
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。
Abstract:
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.

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更新日期/Last Update: 2019-04-30