Integrable cases of the Hamilton-Jacobi equations and dynamic systems reducible to canonical form
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.
scientific article; zbMATH DE number 4024854