Lax representation for two--particle dynamics splitting on two tori

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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9 pages, LaTeX

Scientific paper

10.1088/0305-4470/29/17/002

Lax representation in terms of $2\times 2$ matrices is constructed for a
separable multiply--periodic system splitting on two tori. Hyperelliptic
Kleinian functions and their reduction to elliptic functions are used.

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