Reductions of integrable equations: Dihedral group

S. Lombardo*, A. V. Mikhailov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)


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, 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.

Original languageEnglish
Pages (from-to)7727-7742
Number of pages16
JournalJournal of Physics A: Mathematical and General
Issue number31
Publication statusPublished - Aug 2004

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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