We consider a Frobenius structure associated with the dispersionless Kadomtsev - Petviashvili equation. This is done, essentially, by applying a continuous analogue of the finite dimensional theory in the space of Schwartz functions on the line. The potential of the Frobenius manifold is found to be a logarithmic energy with quadratic external field. Following the construction of the principal hierarchy, we construct a set of infinitely many commuting flows, which extends the classical dKP hierarchy. © 2012 Springer-Verlag.

(2012). Frobenius Manifold for the Dispersionless Kadomtsev-Petviashvili Equation [journal article - articolo]. In COMMUNICATIONS IN MATHEMATICAL PHYSICS. Retrieved from http://hdl.handle.net/10446/230890

Frobenius Manifold for the Dispersionless Kadomtsev-Petviashvili Equation

Raimondo, Andrea
2012-01-01

Abstract

We consider a Frobenius structure associated with the dispersionless Kadomtsev - Petviashvili equation. This is done, essentially, by applying a continuous analogue of the finite dimensional theory in the space of Schwartz functions on the line. The potential of the Frobenius manifold is found to be a logarithmic energy with quadratic external field. Following the construction of the principal hierarchy, we construct a set of infinitely many commuting flows, which extends the classical dKP hierarchy. © 2012 Springer-Verlag.
articolo
2012
Raimondo, Andrea
(2012). Frobenius Manifold for the Dispersionless Kadomtsev-Petviashvili Equation [journal article - articolo]. In COMMUNICATIONS IN MATHEMATICAL PHYSICS. Retrieved from http://hdl.handle.net/10446/230890
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Descrizione: This is a post-peer-review, pre-copyedit version of an article published in Communications in Mathematical Physics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00220-012-1470-7
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/230890
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