Integrable Structure of Interface Dynamics

Details Integrable Structure of Interface Dynamics Integrable Structure of Interface Dynamics

2000-01-05

arxiv.org/abs/nlin/0001007v2

Phys.Rev.Lett. 84 (2000) 5106-5109

Nonlinear Sciences

Exactly Solvable and Integrable Systems

5 pages, no figures, submitted to Phys. Rev. Lett, typos corrected

Scientific paper

10.1103/PhysRevLett.84.5106

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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