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arXiv · 1802.04922

Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications

Hui Mao·Q. P. Liu·Lingling Xue
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Abstract

In this paper, we construct a Darboux transformation and the related Bäcklund transformation for the supersymmetric Sawada-Kotera (SSK) equation. The associated nonlinear superposition formula is also worked out. We demonstrate that these are natural extensions of the similar results of the Sawada-Kotera equation and may be applied to produce the solutions of the SSK equation. Also, we present two semi-discrete systems and show that the continuum limit of one of them goes to the SKK equation.

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BibTeXRIS

Hui Mao, Q. P. Liu, Lingling Xue. 2018-02-14. Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications. https://arxiv.org/abs/1802.04922

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