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
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 CH...
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
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-...
supported by National Natural Science Foundation of China under Grant No.10601028
Darboux transformation (DT) provides us with a comprehensive approach to construct the exact and explicit solutions to the negative extended KdV (eKdV) equation, by which some new solutions such as singular solito...