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arXiv · 0802.0184

Classical R-Operators and Integrable Generalizations of Thirring Equations

Taras V. Skrypnyk
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Abstract

We 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.

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BibTeXRIS

Taras V. Skrypnyk. 2008-02-01. Classical R-Operators and Integrable Generalizations of Thirring Equations. https://doi.org/10.3842/sigma.2008.011

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