A genus six cyclic tetragonal reduction of the Benney equations

M. England, J. Gibbons

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)
41 Downloads (Pure)


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 σ-function of the curve.

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

Bibliographical note

This is an author-created, un-copyedited version of an article accepted
for publication in Journal of Physics A: Mathematical and Theoretical. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1751-8113/42/37/375202

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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