Yang-Baxter maps and symmetries of integrable equations on quad-graphs

Papageorgiou, VG; Tongas, AG; Veselov, AP

dc.contributor.author	Papageorgiou, VG	en
dc.contributor.author	Tongas, AG	en
dc.contributor.author	Veselov, AP	en
dc.date.accessioned	2014-03-01T01:25:30Z
dc.date.available	2014-03-01T01:25:30Z
dc.date.issued	2006	en
dc.identifier.issn	0022-2488	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17691
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	SET-THEORETICAL SOLUTIONS	en
dc.subject.other	DIMENSION	en
dc.subject.other	MAPPINGS	en
dc.subject.other	SYSTEMS	en
dc.title	Yang-Baxter maps and symmetries of integrable equations on quad-graphs	en
heal.type	journalArticle	en
heal.identifier.primary	10.1063/1.2227641	en
heal.identifier.secondary	http://dx.doi.org/10.1063/1.2227641	en
heal.identifier.secondary	083502	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	A connection between the Yang-Baxter relation for maps and the multidimensional consistency property of integrable equations on quad-graphs is investigated. The approach is based on the symmetry analysis of the corresponding equations. It is shown that the Yang-Baxter variables can be chosen as invariants of the multiparameter symmetry groups of the equations. We use the classification results by Adler, Bobenko, and Suris to demonstrate this method. Some new examples of Yang-Baxter maps are derived in this way from multifield integrable equations. (c) 2006 American Institute of Physics.	en
heal.publisher	AMER INST PHYSICS	en
heal.journalName	Journal of Mathematical Physics	en
dc.identifier.doi	10.1063/1.2227641	en
dc.identifier.isi	ISI:000240237300025	en
dc.identifier.volume	47	en
dc.identifier.issue	8	en