Eur. Phys. J. B (2012) 85: 302
https://doi.org/10.1140/epjb/e2012-30366-9

Regular Article

Soliton propagation and collision in a variable-coefficient coupled Korteweg-de Vries equation

Business Information Management School, Shanghai Institute of Foreign Trade, 1900 Wenxiang Road, Shanghai 201620, P.R. China

^a e-mail: hqzhao@163.com

Received: 7 May 2012
Received in final form: 21 June 2012
Published online: 5 September 2012

Abstract

In this paper, a variable-coefficient coupled Korteweg-de Vries equation is presented and studied by Hirota bilinear method. The multi-soliton solutions expressed in the form of Pfaffians are obtained. We further analyze dynamic characters of these soliton solutions. The appearances of resonant soliton behaviors involving some novel soliton fusion and fission phenomena have been reported.