Classical R-Operators and Integrable Generalizations of Thirring Equations

dc.creatorSkrypnyk, Taras V.
dc.date2008-02-01
dc.date.accessioned2026-07-07T12:19:56Z
dc.date.available2026-07-07T12:19:56Z
dc.descriptionWe construct different integrable generalizations of the massive Thirring equations corresponding loop algebras $\widetilde{\mathfrak{g}}^σ$ 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.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0802.0184
dc.identifierhttp://arxiv.org/abs/0802.0184
dc.identifierSIGMA 4:011,2008
dc.identifierdoi:10.3842/SIGMA.2008.011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212930
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleClassical R-Operators and Integrable Generalizations of Thirring Equations
dc.typetext

Files

Collections