Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian

Details Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian

2002-02-18

arxiv.org/abs/nlin/0202035v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9pages. to appear in Cubo Journal

Scientific paper

The sine-Gordon equation has hyperelliptic al function solutions over a hyperelliptic Jacobian for $y^2 = f(x)$ of arbitrary genus $g$. This article gives an extension of the sine-Gordon equation to that over subvarieties of the hyperelliptic Jacobian. We also obtain the condition that the sine-Gordon equation in a proper subvariety of the Jacobian is defined.

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