The Hyperelliptic Ζ-function and the Integrable Massive Thirring Model
نویسنده
چکیده
We provide a treatment of algebro-geometric solutions of the classical massive Thirring system in the framework of the Weierstrass–Klein theory of hyperelliptic functions. We show that the equations of this model generate the characteristic relations of hyperelliptic theory of even hyperelliptic curves, the same role that the KdV equation plays for odd hyperelliptic curves. We also consider the soliton limit of the solution obtained and derive the Kuznetsov– Mikhailov soliton as the limit.
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