Explicit N-fold Darboux transformation and multi-soliton solutions for the (1+1)-dimensional higher-order Broer–Kaup system

Ding-jiang Huang, De-sheng Li and Hong-qing Zhang

Chaos, Solitons & Fractals, 2007, vol. 33, issue 5, 1677-1685

Abstract: In this paper, we present a new N-fold Darboux transformations of the (1+1)-dimensional higher-order Broer–Kaup (HBK) system with the help of a gauge transformation of the spectral problem. As an application, new explicit (2N−1)-soliton solutions of the (1+1)-dimensional HBK system are obtained. Both the N-fold Darboux transformation and (2N−1)-soliton solutions can be written explicitly in terms of Vandermonde-like determinants which are remarkable compactness and transparency.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:5:p:1677-1685

DOI: 10.1016/j.chaos.2006.03.015

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