The R-matrix approach to integrable systems on time scales
Date
2008
Authors
Błaszak, M.
Silindir, B.
Szablikowski, B. M.
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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 δ-differential operators in terms of which one can construct an infinite hierarchy of commuting vector fields. The theory is illustrated by two infinite-field integrable hierarchies on time scales which are Δ-differential counterparts of KP and mKP. The difference counterparts of AKNS and Kaup-Broer soliton systems are constructed as related finite-field restrictions. © 2008 IOP Publishing Ltd.
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Journal of Physics A: Mathematical and Theoretical
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lInstitute of Physics Publishing Ltd.
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English