Geodesic
Classical $R$-Operators and Integrable Generalizations of Thirring Equations
Symmetry, integrability and geometry: methods and applications, Tome 4 (2008) Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras $\widetilde{\mathfrak g}^\sigma$ 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.
Keywords: infinite-dimensional Lie algebras; classical $R$-operators; hierarchies of integrable equations. 
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     author = {Taras V. Skrypnik},
     title = {Classical $R${-Operators} and {Integrable} {Generalizations} of {Thirring} {Equations}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a10/}
}
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Taras V. Skrypnik. Classical $R$-Operators and Integrable Generalizations of Thirring Equations. Symmetry, integrability and geometry: methods and applications, Tome 4 (2008). http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a10/

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