Darboux transformation and multi-soliton solutions for some soliton equations

Zhaqilao,, Yong Chen and Zhi-Bin Li

Chaos, Solitons & Fractals, 2009, vol. 41, issue 2, 661-670

Abstract: A class of new spectral problems associated with a Broer–Kaup–Kupershmidt and a Boussinesq–Burgers soliton hierarchy are presented. They are used to generate some new soliton equations. The Darboux transformation for these spectral problems is constructed with the help of a gauge transformation. Finally, by applying the Darboux transformation, some new soliton solutions of these soliton equations are obtained. Some interesting solutions of multi-peak soliton have been found.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:2:p:661-670

DOI: 10.1016/j.chaos.2008.02.039

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