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On deformations of standard R-matrices for integrable infinite-dimensional systems

Blazej M. Szablikowski, Maciej Blaszak

nlin.SIarXiv:nlin/0501044

Abstract

Simple deformations, with a parameter ε, of classical R-matrices which follow from decomposition of appropriate Lie algebras, are considered. As a result nonstandard Lax representations for some well known integrable systems are presented as well as new integrable evolution equations are constructed.

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