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

Blazej M. Szablikowski·Maciej Blaszak
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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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Blazej M. Szablikowski, Maciej Blaszak. 2005-01-24. On deformations of standard R-matrices for integrable infinite-dimensional systems. https://doi.org/10.1063/1.1868373

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