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arXiv 2008-02-01 DOI 10.3842/SIGMA.2008.011 0 views

Classical R-Operators and Integrable Generalizations of Thirring Equations

Skrypnyk, Taras V.

Original · EN

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.

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