Reductions of integrable equations. Dihedral group

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.

17 pages, submitted to Journal of Physics A: Mathematical and General

References in corpus (2)

• Reduction Groups and Automorphic Lie Algebras
• Reductions of N-wave interactions related to low-rank simple Lie algebras. I: Z_2- reductions

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