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arXiv · 0803.1439

R-matrix approach to integrable systems on time scales

Maciej Blaszak·Burcu Silindir·Blazej M. Szablikowski
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Abstract

A general unifying framework for integrable soliton-like systems on time scales is introduced. The $R$-matrix formalism is applied to the algebra of $\delta$-differential operators in terms of which one can construct infinite hierarchy of commuting vector fields. The theory is illustrated by two infinite-field integrable hierarchies on time scales which are difference counterparts of KP and mKP. The difference counterparts of AKNS and Kaup-Broer soliton systems are constructed as related finite-field restrictions.

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Maciej Blaszak, Burcu Silindir, Blazej M. Szablikowski. 2008-03-10. R-matrix approach to integrable systems on time scales. https://doi.org/10.1088/1751-8113/41/38/385203

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