The R-matrix approach to integrable systems on time scales
| dc.citation.epage | 385203 - 18 | en_US |
| dc.citation.issueNumber | 38 | en_US |
| dc.citation.spage | 385203 - 1 | en_US |
| dc.citation.volumeNumber | 41 | en_US |
| dc.contributor.author | Błaszak, M. | en_US |
| dc.contributor.author | Silindir, B. | en_US |
| dc.contributor.author | Szablikowski, B. M. | en_US |
| dc.date.accessioned | 2016-02-08T10:07:42Z | |
| dc.date.available | 2016-02-08T10:07:42Z | |
| dc.date.issued | 2008 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.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. | en_US |
| dc.identifier.doi | 10.1088/1751-8113/41/38/385203 | en_US |
| dc.identifier.eissn | 1751-8121 | |
| dc.identifier.issn | 1751-8113 | |
| dc.identifier.uri | http://hdl.handle.net/11693/23005 | |
| dc.language.iso | English | en_US |
| dc.publisher | lInstitute of Physics Publishing Ltd. | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1088/1751-8113/41/38/385203 | en_US |
| dc.source.title | Journal of Physics A: Mathematical and Theoretical | en_US |
| dc.title | The R-matrix approach to integrable systems on time scales | en_US |
| dc.type | Article | en_US |
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