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Classical R-Operators and Integrable Generalizations of Thirring Equations

Vernadsky National Library of Ukraine

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Title Classical R-Operators and Integrable Generalizations of Thirring Equations
 
Creator Skrypnyk, T.V.
 
Description 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.
 
Date 2019-02-19T12:49:16Z
2019-02-19T12:49:16Z
2008
 
Type Article
 
Identifier 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.
1815-0659
2000 Mathematics Subject Classification: 17B70; 17B80; 37K10; 37K30; 70H06
http://dspace.nbuv.gov.ua/handle/123456789/148995
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України