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arXiv · 1503.06406

Reduction groups and related integrable difference systems of NLS type

S. Konstantinou-Rizos·A. V. Mikhailov·P. Xenitidis
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Abstract

We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schr\"odinger type equations. We consider all possible finite reduction groups and construct corresponding Lax operators, Darboux transformations, hierarchies of integrable differential-difference equations, integrable partial difference systems and associated scalar partial difference equations.

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S. Konstantinou-Rizos, A. V. Mikhailov, P. Xenitidis. 2015-03-22. Reduction groups and related integrable difference systems of NLS type. https://doi.org/10.1063/1.4928048

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