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Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian | Shigeki Matsutani
; | Date: |
18 Feb 2002 | Subject: | Exactly Solvable and Integrable Systems; Mathematical Physics; Algebraic Geometry; Analysis of PDEs | nlin.SI math-ph math.AG math.AP math.MP | Abstract: | 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. | Source: | arXiv, nlin.SI/0202035 | Services: | Forum | Review | PDF | Favorites |
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