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arXiv 2013-10-22 0 views

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

Demskoi, Dmitry K

Original · EN

Treating an integrable quad-equation along with its two generalised 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 generalised symmetries that turn them into differential constraints compatible with the NLS-type system.

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