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Reductions of integrable equations. Dihedral group

S. Lombardo·A. V. Mikhailov
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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.

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S. Lombardo, A. V. Mikhailov. 2004-04-07. Reductions of integrable equations. Dihedral group. https://doi.org/10.1088/0305-4470%2F37%2F31%2F006

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