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The reductions of the dispersionless 2D Toda hierarchy and their Hamiltonian structures

TitleThe reductions of the dispersionless 2D Toda hierarchy and their Hamiltonian structures
Publication TypeJournal Article
Year of Publication2010
AuthorsCarlet, G, Lorenzoni, P, Raimondo, A
JournalJ. Phys. A 43 (2010) 045201
Abstract

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.

URLhttp://hdl.handle.net/1963/3846
DOI10.1088/1751-8113/43/4/045201

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