A novel Hirota bilinear approach to $N=2$ supersymmetric equations
Author:
Laurent Delisle
Keyword:
Nonlinear Sciences, Exactly Solvable and Integrable Systems, Exactly Solvable and Integrable Systems (nlin.SI), High Energy Physics - Theory (hep-th), Mathematical Physics (math-ph)
journal:
J. Phys. A: Math. Theor. 56 455202 (2023)
date:
2023-06-07 16:00:00
Abstract
This article presents a novel application of the Hirota bilinear formalism to the $N=2$ supersymmetric KdV and Burgers equations. This new approach avoids splitting N=2 equations into two $N=1$ equations. We use the super Bell polynomials to obtain bilinear representations and present multi-soliton solutions.