2002/01/31 by Shigeki Matsutani
Physics and Astronomy · Mathematics · #nlin.SI #math-ph #math.AG #math.DG #math.MP
published as Int. J. Appl. Math. 11 (2002) 295-307 · AMS-Tex, 10 pages
arxiv created 2003/06/28 · arxiv updated 2009/11/30
We study relations of the Weierstrass's hyperelliptic al-functions over a non-degenerated hyperelliptic curve y2 = 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.