On Relations of Hyperelliptic Weierstrass al Functions

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We study relations of the Weierstrass's hyperelliptic al-functions over a non-degenerated hyperelliptic curve $y^2 = f(x)$ of arbitrary genus $g$ as solutions of sine-Gordon equation using Weierstrass's local parameters, which are characterized by two ramified points. Though the hyperelliptic solutions of the sine-Gordon equation had already obtained, our derivations of them are simple; they need only residual computations over the curve and primitive matrix computations.
AMS-Tex, 10 pages

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Exactly Solvable and Integrable Systems, Mathematical Physics, Algebraic Geometry, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/80146

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0201019
 http://arxiv.org/abs/nlin/0201019
 Int. J. Appl. Math. 11 (2002) 295-307

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arXiv