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Classical R-Operators and Integrable Generalizations of Thirring Equations

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dc.contributor.author Skrypnyk, T.V.
dc.date.accessioned 2019-02-19T12:49:16Z
dc.date.available 2019-02-19T12:49:16Z
dc.date.issued 2008
dc.identifier.citation Classical R-Operators and Integrable Generalizations of Thirring Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 15 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2000 Mathematics Subject Classification: 17B70; 17B80; 37K10; 37K30; 70H06
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/148995
dc.description.abstract We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras gσ in different gradings and associated ''triangular'' R-operators. We consider the most interesting cases connected with the Coxeter automorphisms, second order automorphisms and with ''Kostant-Adler-Symes'' R-operators. We recover a known matrix generalization of the complex Thirring equations as a partial case of our construction. uk_UA
dc.description.sponsorship This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). Author is grateful to Professors A. Mikhailov and P. Holod for attracting his attention to Thirring model and to M. Tsuchida for useful discussion. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Classical R-Operators and Integrable Generalizations of Thirring Equations uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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