Integrable Structure of Interface Dynamics
Exactly Solvable and Integrable Systems
2009-10-31 v2 Statistical Mechanics
High Energy Physics - Theory
Pattern Formation and Solitons
Abstract
We establish the equivalence of a 2D contour dynamics to the dispersionless limit of the integrable Toda hierarchy constrained by a string equation. Remarkably, the same hierarchy underlies 2D quantum gravity.
Keywords
Cite
@article{arxiv.nlin/0001007,
title = {Integrable Structure of Interface Dynamics},
author = {Mark Mineev-Weinstein and Paul B. Wiegmann and Anton Zabrodin},
journal= {arXiv preprint arXiv:nlin/0001007},
year = {2009}
}
Comments
5 pages, no figures, submitted to Phys. Rev. Lett, typos corrected