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## 2007.151: Reductions of integrable equations: dihedral group

2007.151: S. Lombardo and A.V. Mikhailov (2004) Reductions of integrable equations: dihedral group. Journal of Physics A: Mathematical and General, 37 (31). pp. 7727-7742. ISSN 0305-4770

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## Abstract

We discuss the algebraic and analytic structure of rational Lax operators. With algebraic reductions of Lax equations we associate a reduction group—a group of automorphisms of the corresponding infinite-dimensional Lie algebra. We present a complete study of dihedral reductions for sl(2,{\bb C}) Lax operators with simple poles and corresponding integrable equations. In the last section we give three examples of dihedral reductions for sl(N,{\bb C}) Lax operators.

Item Type: Article PACS 2003 > 02 Mathematical methods in physics 2007.151 Mrs Louise Healey 16 November 2007