Bi-Hamiltonian aspects of the separability of the Neumann system

Details Bi-Hamiltonian aspects of the separability of the Neumann system Bi-Hamiltonian aspects of the separability of the Neumann system

2002-02-11

arxiv.org/abs/nlin/0202023v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX file, 12 pages. Talk given at the NEEDS2001 Conference

Scientific paper

The Neumann system on the 2-dimensional sphere is used as a tool to convey
some ideas on the bi-Hamiltonian point of view on separation of variables. It
is shown that, from this standpoint, its separation coordinates and its
integrals of motion can be found in a systematic way.

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