Integrable cases of the Hamilton-Jacobi equations and dynamic systems reducible to canonical form

DOI10.1016/0021-8928(86)90027-4zbMath0629.70015OpenAlexW2090024897MaRDI QIDQ1094166

A. A. Bekov

Publication date: 1986

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(86)90027-4

zbMATH Keywords

integrabilityHamilton-Jacobi equationsComparison theoremsclass of non-autonomous dynamic systemstwo bodies of variable mass

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Variable mass, rockets (70P05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Hamilton-Jacobi equations in mechanics (70H20)

Cites Work

• Transformation of the Gil'den-Meshcherskii problem to its stationary form and the laws of mass change
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