Identities for the classical genus two p function

Athorne, C., Eilbeck, J.C. and Enolskii, V.Z. (2003) Identities for the classical genus two p function. Journal of Geometry and Physics, 48(2-3), pp. 354-368. (doi: 10.1016/S0393-0440(03)00048-2)

Abstract

We present a simple method that allows one to generate and classify identities for genus two Weierstrass 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 Weierstrass p functions give rise to a family of solutions to Boussinesq.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Athorne, Dr Chris
• Authors: Athorne, C., Eilbeck, J.C., and Enolskii, V.Z.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of Geometry and Physics
• Published Online: 09 April 2003