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

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

2009-10-07

arxiv.org/abs/0910.1210v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages

Scientific paper

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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