Euler equations in the algebras e(3) and so(4). Isomorphisms of integrable cases
type: Item
instance of: scholarly article
title: Euler equations in the algebras e(3) and so(4). Isomorphisms of integrable cases
zbMATH Open document ID: 0622.58010
DOI: 10.1007/BF01077316
publication date: 1986-01-01T00:00:00Z
review text: A correspondence is established between some classical integrable Hamiltonian systems (Steklov second system \(\to\) Steklov first system, Manakov system \(\to\) Clebsch system) by means of a suitable change of variable.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 70H99
zbMATH DE Number: 4009368
zbMATH Keywords: Clebsch-integral
zbMATH Keywords: Steklov-integral
zbMATH Keywords: Hamiltonian systems
author: Alexander I. Bobenko
reviewed by: József Szilasi
MaRDI profile type: Publication
cites work: Q4111110
cites work: Q3326470
cites work: Linearization of Hamiltonian systems, Jacobi varieties and representation theory
cites work: Geodesic flow on \(SO(4)\) and Abelian surfaces
cites work: Real algebrogeometric solutions of the Landau-Lifshitz equation in Prym theta functions
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4009368