@article {2012,
title = {Frobenius manifold for the dispersionless Kadomtsev-Petviashvili equation},
journal = {Communications in Mathematical Physics 311 (2012) 557-594},
number = {arXiv:1008.2128;},
year = {2012},
publisher = {Springer},
abstract = {We consider a Frobenius structure associated with the dispersionless\\r\\nKadomtsev-Petviashvili equation. This is done, essentially, by applying a\\r\\ncontinuous analogue of the finite dimensional theory in the space of Schwartz\\r\\nfunctions on the line. The potential of the Frobenius manifold is found to be a\\r\\nlogarithmic potential with quadratic external field. Following the construction\\r\\nof the principal hierarchy, we construct a set of infinitely many commuting\\r\\nflows, which extends the classical dKP hierarchy.},
doi = {10.1007/s00220-012-1470-7},
url = {http://hdl.handle.net/1963/6040},
author = {Andrea Raimondo}
}