English

Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian

Exactly Solvable and Integrable Systems 2016-09-08 v2 Mathematical Physics Algebraic Geometry Analysis of PDEs math.MP

Abstract

The sine-Gordon equation has hyperelliptic al function solutions over a hyperelliptic Jacobian for y2=f(x)y^2 = f(x) of arbitrary genus gg. 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

Cite

@article{arxiv.nlin/0202035,
  title  = {Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian},
  author = {Shigeki Matsutani},
  journal= {arXiv preprint arXiv:nlin/0202035},
  year   = {2016}
}

Comments

9pages. to appear in Cubo Journal