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Integrable structure of interface dynamics
Authors:Mineev-Weinstein  Wiegmann  Zabrodin
Institution:Theoretical Division, MS-B213, LANL, Los Alamos, New Mexico 87545, USA.
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.
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