On Relations of Hyperelliptic Weierstrass al Functions

نویسنده

  • Shigeki MATSUTANI
چکیده

We study relations of the Weierstrass’s hyperelliptic al-functions over a non-degenerated hyperelliptic curve y = 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 is simple; they need only residual computations over the curve and primitive matrix computations. 2000 MSC: 14H05, 14K20, 33E99, 30F30

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تاریخ انتشار 2008