Błaszak, M.Silindir, B.Szablikowski, B. M.2016-02-082016-02-0820081751-8113http://hdl.handle.net/11693/23005A 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.EnglishArticle10.1088/1751-8113/41/38/3852031751-8121