Integrable Structure of Interface Dynamics

Mark Mineev-Weinstein, P. Wiegmann, A. Zabrodin

Physical Review Letters · 2000 · 274 citations · 22 references

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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.

References

22