Reductions of integrable equations. Dihedral group
Exactly Solvable and Integrable Systems
2009-11-10 v1
Abstract
We discuss algebraic and analytic structure of rational Lax operators. With algebraic reductions of Lax equations we associate a reduction group - a group of twisted automorphisms of the corresponding infinite dimensional Lie algebra. We present a complete study of dihedral reductions for sl(2,C) Lax operators with simple poles and corresponding integrable equations. In the last section we give three examples of dihedral reductions for sl(N,C) Lax operators.
Cite
@article{arxiv.nlin/0404013,
title = {Reductions of integrable equations. Dihedral group},
author = {S. Lombardo and A. V. Mikhailov},
journal= {arXiv preprint arXiv:nlin/0404013},
year = {2009}
}
Comments
17 pages, submitted to Journal of Physics A: Mathematical and General