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Classical R-Operators and Integrable Generalizations of Thirring Equations
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Classical R-Operators and Integrable Generalizations of Thirring Equations
Інший ID:
2000 Mathematics Subject Classification: 17B70; 17B80; 37K10; 37K30; 70H06
Посилання:
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.
Підтримка:
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.
Дата:
2008
Переглядів:
574
Завантажень:
255
Анотація:
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.
