14 citations · 57 across the 10 of their papers we have counts for
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nlin.SI2004
Exact Solutions of Integrable 2D Contour Dynamics
Luis Martinez Alonso, Elena Medina
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 finit…
nlin.SI2004
Solutions of the Dispersionless Toda Hierarchy Constrained by String Equations
Luis Martinez Alonso, Elena Medina
Solutions of the Riemann-Hilbert problem implementing the twistorial structure of the dispersionless Toda (dToda) hierarchy are obtained. Two types of string equations are consider…
nlin.SI2004
Integrable Quasiclassical Deformations of Algebraic Curves
B. Konopelchenko, L. Martinez Alonso
A general scheme for determining and studying integrable deformations of algebraic curves is presented. The method is illustrated with the analysis of the hyperelliptic case. An as…