On Camassa-Holm Equation with Self-Consistent Sources and Its Solutions  

作　　者：黄晔辉 姚玉芹 曾云波 

机构地区：[1]Department of Mathematical Science,Tsinghua University [2]Department of Applied Mathematics,China Agricultural University

出　　处：《Communications in Theoretical Physics》2010年第3期403-412,共10页理论物理通讯（英文版）

基　　金：Supported by the Nationai Basic Research Program of China (973 program) under Grant No. 2007CB814800;the National Science Foundation of China under Grant Nos. 10801083 and 10901090

摘　　要：Regarded as the integrable generalization of Camassa-Holm (CH) equation, the CH equation with selfconsistent sources (CHESCS) is derived. The Lax representation of the CHESCS is presented. The conservation laws for CHESCS are constructed. The peakon solution, N-soliton, N-cuspon, N-positon, and N-negaton solutions of CHESCS are obtained by using Darboux transformation and the method of variation of constants.

关 键 词：Camassa Holm equation with self-consistent sources Lax representation conservation laws PEAKON SOLITON POSITON NEGATON 

分 类 号：O175[理学—数学]