On Coupled KdV Equations with Self-consistent Sources

Autor: Xie Xi, Zeng Yun-Bo, Huang Ye-Hui, Wu Hong-Xia
Rok vydání: 2008
Předmět:
Zdroj: Communications in Theoretical Physics. 49:1091-1100
ISSN: 0253-6102
DOI: 10.1088/0253-6102/49/5/02
Popis: 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-Backlund transformation between two CKdVESCSs with different degrees of sources and enables us to construct more general solutions with N arbitrary t-dependent functions. We obtain positon, negaton, complexiton, and negaton-positon solutions of the CKdVESCS.
Databáze: OpenAIRE