Nonlinear Beltrami equation and tau-function for dispersionless hierarchies
Exactly Solvable and Integrable Systems
2009-11-10 v1
Abstract
It is proved that the action for nonlinear Beltrami equation (quasiclassical dbar-problem) evaluated on its solution gives a tau-function for dispersionless KP hierarchy. Infinitesimal transformations of tau-function corresponding to variations of dbar-data are found. Determinant equations for the function generating these transformations are derived. They represent a dispersionless analogue of singular manifold (Schwarzian) KP equations. Dispersionless 2DTL hierarchy is also considered.
Cite
@article{arxiv.nlin/0310038,
title = {Nonlinear Beltrami equation and tau-function for dispersionless hierarchies},
author = {L. V. Bogdanov and B. G. Konopelchenko},
journal= {arXiv preprint arXiv:nlin/0310038},
year = {2009}
}
Comments
12 pages