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arxiv: 0910.1210 · v1 · submitted 2009-10-07 · 🌊 nlin.SI

Reductions of the dispersionless 2D Toda hierarchy and their Hamiltonian structures

classification 🌊 nlin.SI
keywords reductionsdispersionlesshamiltonianhierarchystructurestodaapproachconditions
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We study finite-dimensional reductions of the dispersionless 2D Toda hierarchy showing that the consistency conditions for such reductions are given by a system of radial Loewner equations. We then construct their Hamiltonian structures, following an approach proposed by Ferapontov.

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