Poisson Structure of Rational Reductions of the 2D dToda Hierarchy
نویسندگان
چکیده
The paper concerns the Hamiltonian structure of the finite-dimensional reductions 2D dispersionless Toda hierarchy constrained by the string equation. We derive the Hamiltonian structure of the reduced dynamics and show connections of integrals of “multi-finger” solutions of the Laplacian growth problem with the “Toda–Krichever” flows of the 2dToda hierarchy constrained by a string equation. The Poisson structure of the rationally reduced 1dToda hierarchy is also derived.
منابع مشابه
Finite-Dimensional Reductions of 2D dToda Hierarchy Constrained by the String Equation
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