Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2004-04-07
Nonlinear Sciences
Exactly Solvable and Integrable Systems
17 pages, submitted to Journal of Physics A: Mathematical and General
Scientific paper
10.1088/0305-4470/37/31/006
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.
Lombardo Salvatore
Mikhailov Alexander. V.
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