Integrable structure of interface dynamics

@article{MineevWeinstein2000IntegrableSO,
  title={Integrable structure of interface dynamics},
  author={Mineev-Weinstein and Wiegmann and Zabrodin},
  journal={Physical review letters},
  year={2000},
  volume={84 22},
  pages={
          5106-9
        }
}
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.