Geodesic
An extended Hamilton--Jacobi method
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 549-568

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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.
Keywords: generalized Lamb's equations, vortex manifolds, Clebsch potentials, Lagrange brackets. 
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     author = {Valery V. Kozlov},
     title = {An extended {Hamilton--Jacobi} method},
     journal = {Russian journal of nonlinear dynamics},
     pages = {549--568},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2012_8_3_a9/}
}
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Valery V. Kozlov. An extended Hamilton--Jacobi method. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 549-568. http://geodesic.mathdoc.fr/item/ND_2012_8_3_a9/