Integrable cases of the Hamilton-Jacobi equations and dynamic systems reducible to canonical form (Q1094166)
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scientific article; zbMATH DE number 4024854
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrable cases of the Hamilton-Jacobi equations and dynamic systems reducible to canonical form |
scientific article; zbMATH DE number 4024854 |
Statements
Integrable cases of the Hamilton-Jacobi equations and dynamic systems reducible to canonical form (English)
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1986
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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.
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Hamilton-Jacobi equations
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class of non-autonomous dynamic systems
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integrability
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Comparison theorems
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two bodies of variable mass
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