Reductions of integrable equations: Dihedral group

S. Lombardo; A. V. Mikhailov

doi:10.1088/0305-4470/37/31/006

Reductions of integrable equations: Dihedral group

S. Lombardo^*, A. V. Mikhailov

^*Corresponding author for this work

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

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, 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 language	English
Pages (from-to)	7727-7742
Number of pages	16
Journal	Journal of Physics A: Mathematical and General
Volume	37
Issue number	31
DOIs	https://doi.org/10.1088/0305-4470/37/31/006
Publication status	Published - Aug 2004

ASJC Scopus subject areas

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

Access to Document

10.1088/0305-4470/37/31/006

Cite this

@article{e8c8952bfe194e9d8eb8a0bf0b136357,

title = "Reductions of integrable equations: Dihedral group",

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, 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.",

author = "S. Lombardo and Mikhailov, {A. V.}",

year = "2004",

month = aug,

doi = "10.1088/0305-4470/37/31/006",

language = "English",

volume = "37",

pages = "7727--7742",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing ",

number = "31",

}

TY - JOUR

T1 - Reductions of integrable equations

T2 - Dihedral group

AU - Lombardo, S.

AU - Mikhailov, A. V.

PY - 2004/8

Y1 - 2004/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=4043055181&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/37/31/006

DO - 10.1088/0305-4470/37/31/006

M3 - Article

AN - SCOPUS:4043055181

SN - 0305-4470

VL - 37

SP - 7727

EP - 7742

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 31

ER -

Reductions of integrable equations: Dihedral group

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this