Email this article Bilinear approach to the supersymmetric Gardner equation
- Authors: Babalic C.N.1,2, Carstea A.S.1,2
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Affiliations:
- Department of Theoretical Physics
- University of Craiova
- Issue: Vol 188, No 2 (2016)
- Pages: 1172-1180
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170711
- DOI: https://doi.org/10.1134/S0040577916080031
- ID: 170711
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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 the 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.
About the authors
C. N. Babalic
Department of Theoretical Physics; University of Craiova
Email: carstea@gmail.com
Romania, Bucharest; Craiova
A. S. Carstea
Department of Theoretical Physics; University of Craiova
Author for correspondence.
Email: carstea@gmail.com
Romania, Bucharest; Craiova
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