Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
type: Item
instance of: scholarly article
title: Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
zbMATH Open document ID: 0573.58016
DOI: 10.1007/BF00398546
author: V. I. Inozemtsev
author: D. V. Meshcheryakov
published in: Letters in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: A new class of completely integrable systems connected with semisimple Lie algebras is found. This class generalizes most of the previously considered integrable systems describing a one-dimensional motion of interacting particles.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 3915274
zbMATH Keywords: completely integrable systems
zbMATH Keywords: semisimple Lie algebras
MaRDI profile type: Publication
cites work: Three integrable Hamiltonian systems connected with isospectral deformations
cites work: Completely integrable classical systems connected with semisimple Lie algebras
cites work: Some finite dimensional integrable systems and their scattering behavior
cites work: Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
cites work: Similarity, Bäcklund transformations and rational solutions
full work available at URL: https://doi.org/10.1007/bf00398546
OpenAlex ID: W2019159791
description: scientific article; zbMATH DE number 3915274