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arXiv · 2301.02495

Backlund transformation of the Geng-Xue system

Lihua Wu·Nianhua Li
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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.

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Lihua Wu, Nianhua Li. 2023-01-06. Backlund transformation of the Geng-Xue system. https://arxiv.org/abs/2301.02495

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