The R-matrix approach to integrable systems on time scales
Date
2008
Authors
Błaszak, M.
Silindir, B.
Szablikowski, B. M.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Physics A: Mathematical and Theoretical
Print ISSN
1751-8113
Electronic ISSN
1751-8121
Publisher
lInstitute of Physics Publishing Ltd.
Volume
41
Issue
38
Pages
385203 - 1 - 385203 - 18
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
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.