A novel Hirota bilinear approach to $N=2$ supersymmetric equations

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.

arXiv comment10 pages, 2 figures. arXiv admin note: text overlap with arXiv:1509.03137

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