N = 2超对称方程的新Hirota双线性方法

Journal of Physics A Pub Date : 2023-10-16 DOI:10.1088/1751-8121/ad00ed

Laurent Delisle

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引用次数: 0

摘要

摘要本文给出了Hirota双线性形式在N = 2超对称Korteweg-de Vries和Burgers方程中的一种新应用。这种新方法避免了将N = 2方程拆分为两个N = 1方程。利用超贝尔多项式得到双线性表示，并给出多孤子解。

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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 Korteweg–de Vries 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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Journal of Physics A

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