A genus six cyclic tetragonal reduction of the Benney equations

Details A genus six cyclic tetragonal reduction of the Benney equations A genus six cyclic tetragonal reduction of the Benney equations

2009-03-30

arxiv.org/abs/0903.5203v1

J. Phys. A: Math. Theor. 42 (2009) 375202

Physics

Mathematical Physics

39pages, 3figures

Scientific paper

10.1088/1751-8113/42/37/375202

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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