Smooth multisoliton solutions of the Geng-Xue equation
Exactly Solvable and Integrable Systems
2022-02-09 v2
Abstract
We present a reciprocal transformation which links the Geng-Xue equation to a particular reduction of the first negative flow of the Boussinesq hierarchy. We discuss two reductions of the reciprocal transformation for the Degasperis-Procesi and Novikov equations, respectively. With the aid of the Darboux transformation and the reciprocal transformation, we obtain a compact parametric representation for the smooth soliton solutions such as multi-kink solutions of the Geng-Xue equation.
Keywords
Cite
@article{arxiv.2202.03041,
title = {Smooth multisoliton solutions of the Geng-Xue equation},
author = {Nianhua Li and Q. P. Liu},
journal= {arXiv preprint arXiv:2202.03041},
year = {2022}
}
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14 pages