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.
@article{1537,
title = {Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian},
journal = {CUBO, A Mathematical Journal},
volume = {7},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/1537}
}
Matsutani, Shigeki. Relations of al Functions over Subvarieties in a Hyperelliptic Jacobian. CUBO, A Mathematical Journal, Tome 7 (2005) 11 p. http://gdmltest.u-ga.fr/item/1537/