title: Integrable structure of interface dynamics
abstract: We establish the equivalence of 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.
authors.affiliation: Theoretical Division, MS-B213, LANL, Los Alamos, New Mexico 87545, USA.
authors.initials: M
authors.lastname: Mineev-Weinstein
authors.initials: PB
authors.lastname: Wiegmann
authors.initials: A
authors.lastname: Zabrodin