Martínez Alonso, LuisMedina Reus, ElenaMañas Baena, Manuel Enrique2023-06-202023-06-202006-080022-248810.1063/1.2218982https://hdl.handle.net/20.500.14352/51530©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.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.engjournal articlehttp://dx.doi.org/10.1063/1.2218982http://scitation.aip.orgopen access51-73Dispersionless kp hierarchyRandom-matrix ensembleToda hierarchyIntegrable hierarchiesAdditional symmetriesConformal-mapsGrowthCurveLimitFísica-Modelos matemáticosFísica matemática