A genus six cyclic tetragonal reduction of the Benney equations

M. England, J. Gibbons

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A reduction of Benney's equations is constructed corresponding to Schwartz-Christoffel maps associated with a family of genus six cyclic tetragonal curves. The mapping function, a second kind Abelian integral on the associated Riemann surface, is constructed explicitly as a rational expression in derivatives of the Kleinian s-function of the curve. © 2009 IOP Publishing Ltd.

Original languageEnglish
Article number375202
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number37
DOIs
Publication statusPublished - 2009

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