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

Kiev ); Mario Salerno (University of Salerno ); Victor Enolskii (Institute of Magnetism

arxiv: solv-int/9603004 · v1 · submitted 1996-03-12 · solv-int · nlin.SI

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

Victor Enolskii (Institute of Magnetism , Kiev ) , Mario Salerno (University of Salerno ) This is my paper

classification solv-int nlin.SI

keywords functionsrepresentationsplittingtoriconstructeddynamicselliptichyperelliptic

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

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