Exact solutions of integrable 2D contour dynamics
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2005
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Elsevier Science BV
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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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©2005 Elsevier B.V. All rights reserved.