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arXiv · 1703.07283

Bilinear approach to the supersymmetric Gardner equation

N. C. Babalic·A. S. Carstea
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Abstract

We study a supersymmetric version of the Gardner equation (both focusing and defocusing) using the superbilinear formalism. This equation is new and cannot be obtained from supersymmetric modified Korteweg-de Vries equation with a nonzero boundary condition. We construct supersymmetric solitons and then by passing to the long-wave limit in the focusing case obtain rational nonsingular solutions. We also discuss the supersymmetric version of the defocusing equation and the dynamics of its solutions.

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N. C. Babalic, A. S. Carstea. 2017-03-21. Bilinear approach to the supersymmetric Gardner equation. https://doi.org/10.1134/s0040577916080031

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