Yu. A. Grigorev, A. V. Tsiganov, “Symbolic software for separation of variables in the Hamilton–Jacobi equation for the <nobr>$L$</nobr>-systems”, Regul. Chaotic Dyn., 2005, Volume 10, Issue 4,Pages <nobr>413

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Bicentennial of C.G. Jacobi

Symbolic software for separation of variables in the Hamilton–Jacobi equation for the $L$-systems

Yu. A. Grigorev, A. V. Tsiganov

V. A. Fock Institute of Physics, St. Petersburg State University, 198504, St. Petersburg, Russia

Abstract: We discuss a computer implementation of the known algorithm of finding separation coordinates for a special class of orthogonal separable systems called $L$-systems or Benenti systems.

Keywords: integrable systems, Hamilton–Jacobi equation, separation of variables.

MSC: 37J35, 37K10, 70H20

Received: 10.05.2005
Accepted: 30.07.2005

Language: English

DOI: 10.1070/RD2005v010n04ABEH000323