Exact Solutions of Integrable 2D Contour Dynamics
Exactly Solvable and Integrable Systems
2009-11-10 v1 Pattern Formation and Solitons
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.
Cite
@article{arxiv.nlin/0410042,
title = {Exact Solutions of Integrable 2D Contour Dynamics},
author = {Luis Martinez Alonso and Elena Medina},
journal= {arXiv preprint arXiv:nlin/0410042},
year = {2009}
}
Comments
13 pages, 3 figures