An extended Hamilton–Jacobi method
2012, Vol. 8, No. 3, pp. 549-568
Author(s): Kozlov V. V.
We develop a new method for solving Hamilton’s canonical differential equations. The method is based on the search of invariant vortex manifolds of special type. In the case of Lagrangian (potential) manifolds, we arrive at the classical Hamilton–Jacobi method.
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