TY - JOUR
T1 - Frobenius manifold for the dispersionless Kadomtsev-Petviashvili equation
JF - Communications in Mathematical Physics 311 (2012) 557-594
Y1 - 2012
A1 - Andrea Raimondo
AB - 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.
PB - Springer
UR - http://hdl.handle.net/1963/6040
U1 - 5931
U2 - Mathematics
U3 - Mathematical Physics
U4 - -1
ER -