%0 Journal Article %A Martínez Alonso, Luis %A Medina Reus, Elena %T Exact solutions of integrable 2D contour dynamics %D 2005 %@ 0370-2693 %U https://hdl.handle.net/20.500.14352/51650 %X A class of exact solutions of the dispersionless Toda hierarchy constrained by a string equation is obtained. These solutions represent deformations of analytic curves with a finite number of nonzero harmonic moments. The corresponding tau-functions are determined and the emergence of cusps is studied. %~