Identities for the classical genus two p function

[摘要] We present a simple method that allows one to generate and classify identities for genus two p functions for generic algebraic curves of type (2, 6). We discuss the relation of these identities to the Boussinesq equation for shallow water waves and show, in particular, that these 9 functions give rise to a family of solutions to Boussinesq. (C) 2003 Elsevier Science B.V. All rights reserved.

[发布日期] 2003-11-01

[关键词] algebraic curves;Boussinesq equation