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Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications
2018
Journal of Nonlinear Mathematical Physics
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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.
doi:10.1080/14029251.2018.1494779
fatcat:d2ro2zb7jzdp5fiwgxdqryho6y