New solution of the $\mathcal{N}=2$ Supersymmetric KdV equation via Hirota methods

Abstract

We consider the resolution of the $\mathcal{N}=2$ supersymmetric KdV equation with $a=-2$ ($SKd{V}_{a=-2}$) from the Hirota formalism. For the first time, a bilinear form of the $SKd{V}_{a=-2}$ equation is constructed. We construct multisoliton solutions and rational similarity solutions.

7 pages, 9 figures. arXiv admin note: significant text overlap with arXiv:1104.0590

References in corpus (4)

• An Operator Valued Extension of the Super KdV Equations
• Bilinearization of N=1 Supersymmetric Modified KdV Equations
• Bilinear Approach to N=2 Supersymmetric KdV equations
• Solitons Solutions for the N=2 Supersymmetric KdV Equation

Cited by in corpus (3)

• Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation
• Bäcklund-Darboux Transformations and Discretizations of $N=2a=-2$ Supersymmetric KdV Equation
• A novel Hirota bilinear approach to $N=2$ supersymmetric equations