A novel Hirota bilinear approach to $N=2$ supersymmetric equations
Exactly Solvable and Integrable Systems
2023-10-18 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
This article presents a novel application of the Hirota bilinear formalism to the supersymmetric KdV and Burgers equations. This new approach avoids splitting N=2 equations into two equations. We use the super Bell polynomials to obtain bilinear representations and present multi-soliton solutions.
Keywords
Cite
@article{arxiv.2306.05220,
title = {A novel Hirota bilinear approach to $N=2$ supersymmetric equations},
author = {Laurent Delisle},
journal= {arXiv preprint arXiv:2306.05220},
year = {2023}
}
Comments
10 pages, 2 figures. arXiv admin note: text overlap with arXiv:1509.03137