Genus-zero Whitham hierarchies in conformal-map dynamics
Exactly Solvable and Integrable Systems
2009-11-11 v1
Abstract
A scheme for solving quasiclassical string equations is developped to prove that genus-zero Whitham hierarchies describe the deformations of planar domains determined by rational conformal maps. This property is applied in normal matrix models to show that deformations of simply-connected supports of eigenvalues under changes of coupling constants are governed by genus-zero Whitham hierarchies.
Cite
@article{arxiv.nlin/0609037,
title = {Genus-zero Whitham hierarchies in conformal-map dynamics},
author = {Luis Martinez Alonso and Elena Medina},
journal= {arXiv preprint arXiv:nlin/0609037},
year = {2009}
}
Comments
12 pages, 3 figures