## 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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DOI: 10.1088/0305-4470/37/31/006

## 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 |
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Subjects: | PACS 2003 > 02 Mathematical methods in physics |

MIMS number: | 2007.151 |

Deposited By: | Mrs Louise Healey |

Deposited On: | 16 November 2007 |

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