Exact Solutions of Integrable 2D Contour Dynamics

Details Exact Solutions of Integrable 2D Contour Dynamics Exact Solutions of Integrable 2D Contour Dynamics

2004-10-20

arxiv.org/abs/nlin/0410042v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, 3 figures

Scientific paper

10.1016/j.physletb.2005.02.012

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.

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