Identities for the classical genus two p function

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

doi:10.1016/S0393-0440(03)00048-2

Identities for the classical genus two p function

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

Research output: Contribution to journal › Article › peer-review

10 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 language	English
Pages (from-to)	354-368
Number of pages	15
Journal	Journal of Geometry and Physics
Volume	48
Issue number	2-3
DOIs	https://doi.org/10.1016/S0393-0440(03)00048-2
Publication status	Published - Nov 2003

Keywords

Algebraic curves
Boussinesq equation

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10.1016/S0393-0440(03)00048-2

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title = "Identities for the classical genus two p function",

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. {\textcopyright} 2003 Elsevier Science B.V. All rights reserved.",

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author = "Chris Athorne and Eilbeck, \{J. C.\} and Enolskii, \{V. Z.\}",

year = "2003",

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doi = "10.1016/S0393-0440(03)00048-2",

language = "English",

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journal = "Journal of Geometry and Physics",

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AU - Athorne, Chris

AU - Eilbeck, J. C.

AU - Enolskii, V. Z.

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N2 - 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.

AB - 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.

KW - Algebraic curves

KW - Boussinesq equation

UR - https://www.scopus.com/pages/publications/0141425665

U2 - 10.1016/S0393-0440(03)00048-2

DO - 10.1016/S0393-0440(03)00048-2

M3 - Article

VL - 48

SP - 354

EP - 368

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 2-3

ER -

Identities for the classical genus two p function

Abstract

Keywords

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