Soliton propagation and collision in a variable-coefficient coupled Korteweg-de Vries equation
Business Information Management School, Shanghai Institute of
Foreign Trade, 1900 Wenxiang
Received in final form: 21 June 2012
Published online: 5 September 2012
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012