Hyperelliptic Kleinian functions and applications

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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24 pages, AMSLaTeX2e

Scientific paper

We develop the theory of hyperelliptic Kleinian functions. As applications we
consider construction of the explicit matrix realization of the hyperelliptic
Kummer varieties, differential operators to have the hyperelliptic curve as
spectral variety, solution of the KdV equations by Kleinian functions.

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