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Exact Solutions of Integrable 2D Contour Dynamics

Luis Martinez Alonso·Elena Medina
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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.

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Luis Martinez Alonso, Elena Medina. 2004-10-20. Exact Solutions of Integrable 2D Contour Dynamics. https://doi.org/10.1016/j.physletb.2005.02.012

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