$Quad-equations and auto-B\"acklund transformations of NLS-type systems$

Quad-equations and auto-B\"acklund transformations of NLS-type systems

Treating an integrable quad-equation along with its two generalised symmetries as a compatible system allows one to construct an auto-B\"acklund transformation for solutions of the related NLS-type system. A fixed periodic reduction of the quad-equation yields a quasi-periodic reduction of its...

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Bibliographische Detailangaben
1. Verfasser:	Demskoi, Dmitry K
Format:	Artikel
Sprache:	eng
Schlagworte:	Physics - Exactly Solvable and Integrable Systems
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Beschreibung
Zusammenfassung:	Treating an integrable quad-equation along with its two generalised symmetries as a compatible system allows one to construct an auto-B\"acklund transformation for solutions of the related NLS-type system. A fixed periodic reduction of the quad-equation yields a quasi-periodic reduction of its generalised symmetries that turn them into differential constraints compatible with the NLS-type system.
DOI:	10.48550/arxiv.1310.5769