Quad-equations and auto-Bäcklund transformations of NLS-type

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Abstract

Treating an integrable quad-equation along with its two generalized symmetries as a compatible system allows one to construct an auto-Bäcklund transformation for solutions of the related NLS-type system. A fixed periodic reduction of the quad-equation yields a quasi-periodic reduction of its generalized symmetries that turns them into differential constraints compatible with the NLS-type system.
Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalJournal of Physics A: Mathematical and Theoretical
Volume47
Issue number16
DOIs
Publication statusPublished - Apr 2014

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