A genus six cyclic tetragonal reduction of the Benney equations

M. England; J. Gibbons

doi:10.1088/1751-8113/42/37/375202

A genus six cyclic tetragonal reduction of the Benney equations

M. England, J. Gibbons

School of Mathematical & Computer Sciences

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

12 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 language	English
Article number	375202
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	37
DOIs	https://doi.org/10.1088/1751-8113/42/37/375202
Publication status	Published - 2009

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AB - 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.

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A genus six cyclic tetragonal reduction of the Benney equations

Abstract

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