Integrable Structure of Interface Dynamics

Preprint

10 January 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.nlin/0001007

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

HIERARCHY CONSTRAINED
INTERFACE DYNAMICS
CONTOUR DYNAMICS
INTEGRABLE TODA
QUANTUM GRAVITY
2D QUANTUM
2D CONTOUR

All Related Versions

Version 1, 2000-01-05, ArXiv
Version 2, 2000-01-10, ArXiv
Published version: Physical Review Letters, 84 (22), 5106.

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