Quad-equations and auto-Bäcklund transformations of NLS-type systems
2014
Treating an integrable quad-equation along with its two generalized symmetries as a compatible system allows one to construct an auto-Backlund 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.
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