Reductions of the dispersionless 2D Toda hierarchy and their Hamiltonian structures
Exactly Solvable and Integrable Systems
2009-10-08 v1
Abstract
We study finite-dimensional reductions of the dispersionless 2D Toda hierarchy showing that the consistency conditions for such reductions are given by a system of radial Loewner equations. We then construct their Hamiltonian structures, following an approach proposed by Ferapontov.
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Cite
@article{arxiv.0910.1210,
title = {Reductions of the dispersionless 2D Toda hierarchy and their Hamiltonian structures},
author = {Guido Carlet and Paolo Lorenzoni and Andrea Raimondo},
journal= {arXiv preprint arXiv:0910.1210},
year = {2009}
}
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15 pages