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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2015 013, 18 pp. (Mi ipmp1976)

This article is cited in 2 papers

Hamilton–Jacobi method for non-Hamiltonian systems

V. V. Vedenyapin, N. N. Fimin


Abstract: The Hamilton–Jacobi method is analyzed on the viewpoint of hydrodynamic substitution. The ideology of this method is applied for obtaining of exact solutions of dynamical systems for dimensions $n\geqslant2$.

Keywords: hydrodynamical substitution, Liouville equation, Hamilton–Jacobi method, non–Hamiltonian system.



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