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 p functions give rise to a family of solutions to Boussinesq. © 2003 Elsevier Science B.V. All rights reserved.
- Algebraic curves
- Boussinesq equation