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On one integrable system with a cubic first integral

By A. V. Vershilov and A. V. Tsiganov


Recently one integrable model with a cubic first integral of motion has been studied by Valent using some special coordinate system. We describe the bi-Hamiltonian structures and variables of separation for this system.Comment: LaTeX with AMS fonts, 9 page

Topics: Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, Mathematics - Dynamical Systems, 70H20, 70H06, 37K10
Year: 2011
DOI identifier: 10.1007/s11005-012-0562-9
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