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.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 2009|