Exact Periodic and Solitary-Wave Solutions of Multi-component Modified Korteweg-de Vries Equations  

作　　者：ZHANG Huan TIAN Bo ZHANG Hai-Qiang LI Li-Li 

机构地区：[1]School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China [2]State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083, China [3]Key Laboratory of Optical Communication and Lightwave Technologies, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China

出　　处：《Communications in Theoretical Physics》2009年第4期588-594,共7页理论物理通讯（英文版）

基　　金：supported by National Natural Science Foundation of China under Grant Nos. 60772023 and 60372095;the Key Project of the Ministry of Education under Grant No. 106033;the Open Fund of the State Key Laboratory of Software Development Environment under Grant No. SKLSDE-07-001;Beijing University of Aeronautics and Astronautics,the National Basic Research Program of China (973 Program) under Grant No. 2005CB321901;the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 20060006024;the Ministry of Education

摘　　要：The present work extends the search of Jacobi elliptic function solutions for the multi-component modified Korteweg-de Vries equations. When the modulum m →1, those periodic solutions degenerate as the corresponding solitary wave and shock wave ones. Especially, exact solutions for the three-component system are presented in detail and graphically.

关 键 词：multi-component modified Korteweg-de Vries equations Jacobi elliptic function Hyperbolic solution symbolic computation 

分 类 号：O175.29[理学—数学] Q754[理学—基础数学]