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Integrable Structure of Interface Dynamics

Mark Mineev-Weinstein·Paul B. Wiegmann·Anton Zabrodin
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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.

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Mark Mineev-Weinstein, Paul B. Wiegmann, Anton Zabrodin. 2000-01-10. Integrable Structure of Interface Dynamics. https://doi.org/10.1103/physrevlett.84.5106

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