We introduce a structure of an infinite-dimensional Frobenius manifold on a subspace in the space of pairs of functions analytic inside/outside the unit circle with simple poles at 0/infinity respectively. The dispersionless 2D Toda equations are embedded into a bigger integrable hierarchy associated with this Frobenius manifold.

Infinite-dimensional Frobenius manifolds for 2 + 1 integrable systems

Carlet, Guido;Dubrovin, Boris;Mertens, Luca Philippe
2011-01-01

Abstract

We introduce a structure of an infinite-dimensional Frobenius manifold on a subspace in the space of pairs of functions analytic inside/outside the unit circle with simple poles at 0/infinity respectively. The dispersionless 2D Toda equations are embedded into a bigger integrable hierarchy associated with this Frobenius manifold.
2011
349
75
115
https://arxiv.org/abs/0902.1245
Carlet, Guido; Dubrovin, Boris; Mertens, Luca Philippe
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16174
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