Backlund transformation of the Geng-Xue system
Exactly Solvable and Integrable Systems
2023-01-09 v1 Mathematical Physics
math.MP
Abstract
We construct a Backlund transformation for the Geng-Xue system with the help of reciprocal and gauge transformations. Furthermore, we derive N-Backlund transformation for the Geng-Xue system resorting to Bianchi's permutability. As an application, we obtain some exact solutions of the Geng-Xue system including multi-kink, bell-shaped soliton. Finally, we discuss Backlund transformations for the Degasperis-Procesi and the Novikov equations, which are two reductions of the Geng-Xue system.
Keywords
Cite
@article{arxiv.2301.02495,
title = {Backlund transformation of the Geng-Xue system},
author = {Lihua Wu and Nianhua Li},
journal= {arXiv preprint arXiv:2301.02495},
year = {2023}
}