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Computer Research and Modeling, 2012, Volume 4, Issue 2, Pages 253–265
DOI: https://doi.org/10.20537/2076-7633-2012-4-2-253-265 (Mi crm485) 		 
MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Symmetries of the Hamilton–Jacobi equation

G. N. Yakovenko

Moscow Institute of Physics and Technology (State University), 9 Institutsky per., Dolgoprudny, 141700, Russia
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DOI: https://doi.org/10.20537/2076-7633-2012-4-2-253-265
URL: https://crm.ics.org.ru/journal/article/1886
Abstract: 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.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00228
Ministry of Education and Science of the Russian Federation 2.1.1/3604
Received: 22.04.2012
Document Type: Article
UDC: 517.91.1
Language: Russian
Citation: G. N. Yakovenko, “Symmetries of the Hamilton–Jacobi equation”, Computer Research and Modeling, 4:2 (2012), 253–265
Citation in format AMSBIB
\Bibitem{Yak12}
\by G.~N.~Yakovenko
\paper Symmetries of the Hamilton--Jacobi equation
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 2
\pages 253--265
\mathnet{http://mi.mathnet.ru/crm485}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-2-253-265}
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