Solutions of the Dispersionless Toda Hierarchy Constrained by String Equations
Exactly Solvable and Integrable Systems
2009-11-10 v1
Abstract
Solutions of the Riemann-Hilbert problem implementing the twistorial structure of the dispersionless Toda (dToda) hierarchy are obtained. Two types of string equations are considered which characterize solutions arising in hodograph sectors and integrable structures of two-dimensional quantum gravity and Laplacian growth problems.
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Cite
@article{arxiv.nlin/0409002,
title = {Solutions of the Dispersionless Toda Hierarchy Constrained by String Equations},
author = {Luis Martinez Alonso and Elena Medina},
journal= {arXiv preprint arXiv:nlin/0409002},
year = {2009}
}
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23 pages