Integrable structure of interface dynamics
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.
Mineev-Weinstein
M
Theoretical Division, MS-B213, LANL, Los Alamos, New Mexico 87545, USA.
Wiegmann
PB
Zabrodin
A