A genus six cyclic tetragonal reduction of the Benney equations
Mathematical Physics
2010-03-23 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0903.5203,
title = {A genus six cyclic tetragonal reduction of the Benney equations},
author = {Matthew England and John Gibbons},
journal= {arXiv preprint arXiv:0903.5203},
year = {2010}
}
Comments
39pages, 3figures