Supersymmetric KdV equation: Darboux transformation and discrete systems (Q2872141)
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scientific article; zbMATH DE number 6245183
| Language | Label | Description | Also known as |
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| English | Supersymmetric KdV equation: Darboux transformation and discrete systems |
scientific article; zbMATH DE number 6245183 |
Statements
Supersymmetric KdV equation: Darboux transformation and discrete systems (English)
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14 January 2014
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supersymmetric Korteweg-de Vries (KdV) equation
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Bäcklund transformation
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Darboux transformation
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A proper Darboux transformation is presented for the supersymmetric KdV equation. This Darboux transformation leads to the Bäcklund transformation found earlier by \textit{Q. P. Liu} and \textit{Y. F. Xie} [Phys. Lett., A 325, No. 2, 139--143 (2004; Zbl 1161.37344)]. The Darboux transformation and the related Bäcklund transformation are used to construct integrable super differential-difference and difference-difference systems. The continuum limits of these discrete systems and of their Lax pairs are also considered.
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