Bilinear approach to the supersymmetric Gardner equation
Mathematical Physics
2017-03-28 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1703.07283,
title = {Bilinear approach to the supersymmetric Gardner equation},
author = {N. C. Babalic and A. S. Carstea},
journal= {arXiv preprint arXiv:1703.07283},
year = {2017}
}
Comments
13 pages