On the existence of additional integrals of the equations of motion of a magnetizable solid in an ideal fluid, in the presence of a magnetic field
type: Item
instance of: scholarly article
title: On the existence of additional integrals of the equations of motion of a magnetizable solid in an ideal fluid, in the presence of a magnetic field
zbMATH Open document ID: 0584.73061
DOI: 10.1016/0021-8928(84)90057-1
author: G. I. Subkhankulov
author: A. A. Burov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The equations of motion of a magnetic solid in an ideal fluid and in a homogeneous magnetic field are derived, their Hamiltonian structure are studied and four first integrals are determined. The four-parameter family of the cases of Liouville integrability is found, as well as some cases of the existence of particular integrals.
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 74F15
zbMATH DE Number: 3936649
zbMATH Keywords: Klebsch integral
zbMATH Keywords: Kirchhoff equation
zbMATH Keywords: Hess-Appel'rot integral
zbMATH Keywords: equations of motion
zbMATH Keywords: magnetic solid
zbMATH Keywords: ideal fluid
zbMATH Keywords: homogeneous magnetic field
zbMATH Keywords: Hamiltonian structure
zbMATH Keywords: four first integrals
zbMATH Keywords: four-parameter family
zbMATH Keywords: Liouville integrability
zbMATH Keywords: existence of particular integrals
MaRDI profile type: Publication
full work available at URL: 0021-8928(84)90057-1
OpenAlex ID: W2077749184
cites work: Q5735118
cites work: Q4077489
cites work: Q3792301
description: scientific article; zbMATH DE number 3936649