Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2005, Volume 1, Number 2, Pages 163–179 (Mi nd196)  
Computing of the separated variables for the Hamilton–Jacobi equation

Yu. A. Grigoryev, A. V. Tsiganov

Saint-Petersburg State University
Full-text PDF (255 kB)
Abstract: We discuss an algorithm for calculating of the separated variables for the Hamilton–Jacobi equation for the wide class of the so-called $L$-systems on the Riemann manifolds of the constant curvature. We suggest a software implementation of this algorithm in the system of symbolic computations Maple and consider several examples.
Keywords: integrable systems, Hamilton–Jacobi equation, separation of variables.
Document Type: Article
UDC: 517.9+531.01
Language: Russian
Citation: Yu. A. Grigoryev, A. V. Tsiganov, “Computing of the separated variables for the Hamilton–Jacobi equation”, Nelin. Dinam., 1:2 (2005), 163–179
Citation in format AMSBIB
\Bibitem{GriTsi05}
\by Yu.~A.~Grigoryev, A.~V.~Tsiganov
\paper Computing of the separated variables for the Hamilton--Jacobi equation
\jour Nelin. Dinam.
\yr 2005
\vol 1
\issue 2
\pages 163--179
\mathnet{http://mi.mathnet.ru/nd196}
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  • https://www.mathnet.ru/eng/nd/v1/i2/p163
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    		Нелинейная динамика
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