Genus-zero Whitham hierarchies in conformal-map dynamics

Details Genus-zero Whitham hierarchies in conformal-map dynamics Genus-zero Whitham hierarchies in conformal-map dynamics

2006-09-14

arxiv.org/abs/nlin/0609037v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, 3 figures

Scientific paper

10.1016/j.physletb.2006.08.082

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.

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