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arXiv · 2306.05220

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

Laurent Delisle
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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.

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Laurent Delisle. 2023-09-04. A novel Hirota bilinear approach to $N=2$ supersymmetric equations. https://doi.org/10.1088/1751-8121%2Fad00ed

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