Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian

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Abstract

The sine-Gordon equation has hyperelliptic al function solutions over a hyperelliptic Jacobian for y2 = 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.

Keywords

sine-Gordon equation , nonlinear integrable differential equation , hyperelliptic functions , a subvariety in a Jacobian
  • Pages: 75 - 85
  • Date Published: 2005-12-01
  • Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal

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Published

2005-12-01

How to Cite

[1]
S. Matsutani, “Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian”, CUBO, vol. 7, no. 3, pp. 75–85, Dec. 2005.

Issue

Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal

Section

Articles