Recognition: unknown
Exact Solutions of Integrable 2D Contour Dynamics
classification
🌊 nlin.SI
nlin.PS
keywords
solutionsexactanalyticclassconstrainedcontourcorrespondingcurves
read the original 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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