Exact Solutions of Integrable 2D Contour Dynamics
arXiv:nlin/0410042 · doi:10.1016/j.physletb.2005.02.012
Abstract
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.
13 pages, 3 figures