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

Raimondo, A. (2012). Frobenius Manifold for the Dispersionless Kadomtsev-Petviashvili Equation. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 311(3), 557-594 [10.1007/s00220-012-1470-7].

Frobenius Manifold for the Dispersionless Kadomtsev-Petviashvili Equation

RAIMONDO, ANDREA
2012

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
Articolo in rivista - Articolo scientifico
Frobenius Manifold, dispersionless Kadomtsev-Petviashvili equation
English
557
594
38
Raimondo, A. (2012). Frobenius Manifold for the Dispersionless Kadomtsev-Petviashvili Equation. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 311(3), 557-594 [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/10281/49414
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