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Exact solutions of integrable 2D contour dynamics

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http://dx.doi.org/10.1016/j.physletb.2005.02.012

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2005

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Elsevier Science BV
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https://hdl.handle.net/20.500.14352/51650

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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.

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Física-Modelos matemáticos, Física matemática

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