Integrable cases of the Hamilton-Jacobi equations and dynamic systems reducible to canonical form
type: Item
instance of: scholarly article
title: Integrable cases of the Hamilton-Jacobi equations and dynamic systems reducible to canonical form
zbMATH Open document ID: 0629.70015
DOI: 10.1016/0021-8928(86)90027-4
author: A. A. Bekov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: Novel integrable cases of the Hamilton-Jacobi equations are obtained. A method of reducing a class of non-autonomous dynamic systems to canonical form is given, and cases of their integrability are indicated. Comparison theorems are presented enabling the integrability of a dynamic system to be determined by observing the form of its Hamiltonian. The case of two bodies of variable mass in a resisting and gravitating medium are studied as an example.
Mathematics Subject Classification ID: 70H20
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 70P05
zbMATH DE Number: 4024854
zbMATH Keywords: Hamilton-Jacobi equations
zbMATH Keywords: class of non-autonomous dynamic systems
zbMATH Keywords: integrability
zbMATH Keywords: Comparison theorems
zbMATH Keywords: two bodies of variable mass
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90027-4
OpenAlex ID: W2090024897
cites work: Q5598199
cites work: Q5593246
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cites work: Transformation of the Gil'den-Meshcherskii problem to its stationary form and the laws of mass change
description: scientific article; zbMATH DE number 4024854