Classical R-Operators and Integrable Generalizations of Thirring Equations
Exactly Solvable and Integrable Systems
2008-12-19 v1 Mathematical Physics
math.MP
Abstract
We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras in different gradings and associated ''triangular'' -operators. We consider the most interesting cases connected with the Coxeter automorphisms, second order automorphisms and with ''Kostant-Adler-Symes'' -operators. We recover a known matrix generalization of the complex Thirring equations as a partial case of our construction.
Cite
@article{arxiv.0802.0184,
title = {Classical R-Operators and Integrable Generalizations of Thirring Equations},
author = {Taras V. Skrypnyk},
journal= {arXiv preprint arXiv:0802.0184},
year = {2008}
}
Comments
This 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/