Integrable Structure of Interface Dynamics
classification
🌊 nlin.SI
cond-mat.stat-mechhep-thnlin.PS
keywords
dynamicshierarchyintegrableconstrainedcontourdispersionlessequationequivalence
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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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