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arXiv · 0903.5203

A genus six cyclic tetragonal reduction of the Benney equations

Matthew England·John Gibbons
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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 sigma-function of the curve.

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Matthew England, John Gibbons. 2009-03-30. A genus six cyclic tetragonal reduction of the Benney equations. https://doi.org/10.1088/1751-8113%2F42%2F37%2F375202

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