Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian
classification
🌊 nlin.SI
math-phmath.AGmath.APmath.MP
keywords
hyperellipticjacobianequationsine-gordonsubvarietiesarbitraryarticlecondition
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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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