On Coupled KdV Equations with Self-consistent Sources  

作　　者：HUANG Ye-Hui WU Hong-Xia XIE Xi ZENG Yun-Bo 

机构地区：[1]Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China [2]Department of Mathematics, School of Science, Jimei University, Xiamen 361021, China

出　　处：《Communications in Theoretical Physics》2008年第5期1091-1100,共10页理论物理通讯（英文版）

基　　金：The project supported by the National Fundamental Research Program of China(973 Program)under Grant No.2007CB814800;National Natural Science Foundation of China under Grant No.10601028

摘　　要：The coupled Korteweg-de Vries （CKdV） equation with self-consistent sources （CKdVESCS） and its Lax representation are derived. We present a generalized binary Darboux transformation （GBDT） with an arbitrary time- dependent function for the CKdVESCS as well as the formula for the N-times repeated GBDT. This GBDT provides non-auto-Biicklund transformation between two CKdVESCSs with different degrees of sources and enables us to construct more generM solutions with N arbitrary t-dependent functions. We obtain positon, negaton, complexiton, and negaton- positon solutions of the CKdVESCS.

关 键 词：coupled KdV equation with self-consistent sources generalized binary Darboux transformation POSITON NEGATON COMPLEXITON 

分 类 号：O411.1[理学—理论物理]