Identities for the classical genus two p function

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

Research output: Contribution to journalArticle

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

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Genus
Shallow Water Waves
Boussinesq Equations
Algebraic curve
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Keywords

  • Algebraic curves
  • Boussinesq equation

Cite this

Athorne, Chris ; Eilbeck, J. C. ; Enolskii, V. Z. / Identities for the classical genus two p function. In: Journal of Geometry and Physics. 2003 ; Vol. 48, No. 2-3. pp. 354-368.
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Identities for the classical genus two p function. / Athorne, Chris; Eilbeck, J. C.; Enolskii, V. Z.

In: Journal of Geometry and Physics, Vol. 48, No. 2-3, 11.2003, p. 354-368.

Research output: Contribution to journalArticle

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