An Extended Hamilton–Jacobi Method

2012, Volume 17, Number 6, pp. 580-596

Author(s): Kozlov V. V.

We develop a new method for solving Hamilton’s canonical differential equations. The method is based on the search for invariant vortex manifolds of special type. In the case of Lagrangian (potential) manifolds, we arrive at the classical Hamilton–Jacobi method.

Keywords: generalized Lamb’s equations, vortex manifolds, Clebsch potentials, Lagrange brackets

Citation: Kozlov V. V., An Extended Hamilton–Jacobi Method, Regular and Chaotic Dynamics, 2012, Volume 17, Number 6, pp. 580-596

DOI: 10.1134/S1560354712060093

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