Symbolic software for separation of variables in the Hamilton-Jacobi equation for the \(L\)-systems

DOI10.1070/RD2005v010n04ABEH000323zbMath1133.37329arXivnlin/0505047MaRDI QIDQ2425511

Yu. A. Grigor'ev, Andreĭ Vladimirovich Tsyganov

Publication date: 5 May 2008

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0505047

zbMATH Keywords

Hamilton-Jacobi equationintegrable systemseparation of variables

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04)

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