On Relations of Hyperelliptic Weierstrass al Functions
Matsutani, Shigeki
Exactly Solvable and Integrable Systems
Mathematical Physics
Algebraic Geometry
Differential Geometry
Original · EN
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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.