Identities for the classical genus two p function

Chris Athorne, J. C. Eilbeck, V. Z. Enolskii

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)354-368
Number of pages15
JournalJournal of Geometry and Physics
Volume48
Issue number2-3
DOIs
Publication statusPublished - Nov 2003

Keywords

  • Algebraic curves
  • Boussinesq equation

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