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Darboux transformation for the supersymmetric nonisospectral KdV equation

Li Chen

https://orcid.org/0000-0001-9953-6822

Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China

E-mail Address: cmchenli@163.com

Corresponding author.

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and

Shu-Fang Deng

Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China

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https://doi.org/10.1142/S0217984921502559Cited by:0 (Source: Crossref)

Abstract

Darboux transformation for the supersymmetric nonisospectral KdV equation is investigated. Based on the Lax pair, we successively construct the one-fold, two-fold and three-fold Darboux tansformations for the supersymmetric nonisospectral KdV equation. Moreover, we present the $n$ $n$ -fold Darboux transformation in the form of superdeterminant.

Keywords:

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