Integration of the Hamilton-Jacobi equation for a class of dynamical systems

Details Integration of the Hamilton-Jacobi equation for a class of dynamical systems Integration of the Hamilton-Jacobi equation for a class of dynamical systems

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977vekaz.......65o&link_type=abstract

Akademiia Nauk Kazakhskoi SSR, Vestnik, Aug. 1977, p. 65, 66. In Russian.

Mathematics

Dynamical Systems

Celestial Mechanics, Dynamic Models, Hamilton-Jacobi Equation, Numerical Integration, Astronomical Models, Integral Equations, Theorem Proving

Scientific paper

It is shown that a certain incomplete integral satisfies the Hamilton-Jacobi equation for a given class of Hamiltonian systems. The incomplete integral contains a function that can be determined by the method of separation of variables only if the two arbitrary functions in the expression have the structure of kinetic energy and the force function of Liouville dynamical systems. The result contains Iarov-Iarovoi's (1963) integrable case as a particular case.

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