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On Relations of Hyperelliptic Weierstrass al Functions | | Shigeki Matsutani
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14 Dec 2001 | | Journal: | Int. J. Appl. Math. 11 (2002) 295-307 | | Subject: | Exactly Solvable and Integrable Systems; Algebraic Geometry; Differential Geometry; Mathematical Physics | nlin.SI math-ph math.AG math.DG math.MP | | Abstract: | 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. | | Source: | arXiv, nlin.SI/0201019 | | Services: | Forum | Review | PDF | Favorites | |
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