dbar-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy
Exactly Solvable and Integrable Systems
2009-11-07 v1 Complex Variables
Abstract
It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal Whitham hierarchy are nothing but classes of integrable deformations of quasiconformal mappings on the plane. Examples of deformations of quasiconformal mappings associated with explicit solutions of the dispersionless KP hierarchy are presented.
Keywords
Cite
@article{arxiv.nlin/0103015,
title = {dbar-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy},
author = {B. Konopelchenko and L. Martinez Alonso},
journal= {arXiv preprint arXiv:nlin/0103015},
year = {2009}
}
Comments
13 pages, LaTeX