RT Journal Article T1 String equations in Whitham hierarchies: τ-functions and Virasoro constraints A1 Martínez Alonso, Luis A1 Medina Reus, Elena A1 Mañas Baena, Manuel Enrique AB A scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The τ-functions 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. PB American Institute of Physics SN 0022-2488 YR 2006 FD 2006-08 LK https://hdl.handle.net/20.500.14352/51530 UL https://hdl.handle.net/20.500.14352/51530 LA eng NO ©2006 American Institute of Physics.Partial economical supports from the Spanish DGCYT Program No. FIS2005-00319 and from the European Science Foundation Program No. MISGAM are acknowledged. NO DGCYT, Spain NO European Science Foundation Program DS Docta Complutense RD 18 abr 2025