String equations in Whitham hierarchies: tau-functions and Virasoro constraints
arXiv:nlin/0510001
Abstract
A scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The tau-function of the corresponding solutions is obtained and the differential expressions of the underlying Virasoro constraints are characterized. Illustrative examples of exact solutions of Whitham hierarchies are derived and applications to conformal maps dynamics are indicated.
26 pages, 2 figures