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Indexed by:期刊论文

Date of Publication:2013-02-01

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、Scopus

Volume:219

Issue:11

Page Number:6163-6169

ISSN No.:0096-3003

Key Words:Darboux transformation; Classical Boussinesq-Burgers system; Soliton solution; Vandermonde-like determinant

Abstract:In this paper, we present a new N-fold Darboux transformation of the classical Boussinesq-Burgers system with the help of a gauge transformation of the spectral problem. As an application, new explicit (2N)-soliton solutions are obtained. Both the N-fold Darboux transformation and (2N)-soliton solutions can be written explicitly in terms of Vandermonde-like determinants. (C) 2012 Elsevier Inc. All rights reserved.