Symmetries of the Hamilton–Jacobi equation

Yakovenko G.N.
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The notion of symmetry transformations of the Hamilton–Jacobi equation. For the group of symmetries is shown how to be associated with the Hamiltonian function coefficients of the infinitesimal operator of the group. The examples of calculation of the symmetries and examples calculations based on the full symmetry of the integrals.

Keywords: Hamilton–Jacobi equation, a symmetry transformation; continuation of point transformations on the derivatives, the complete integral
Citation in English: Yakovenko G.N. Symmetries of the Hamilton–Jacobi equation // Computer Research and Modeling, 2012, vol. 4, no. 2, pp. 253-265
Citation in English: Yakovenko G.N. Symmetries of the Hamilton–Jacobi equation // Computer Research and Modeling, 2012, vol. 4, no. 2, pp. 253-265
DOI: 10.20537/2076-7633-2012-4-2-253-265
URL: http://crm-en.ics.org.ru/journal/article/1886/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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