Integrability and symmetry algebra associated with N=2 KP flows

We show the complete integrability of N = 2 nonstandard KP flows establishi ng the bi-Hamiltonian structures. One of Hamiltonian structures is shown to be isomorphic to the nonlinear N = 2 (W) over cap (infinity) algebra with the bosonic sector having (W) over cap (1+infinity) circle plus (W) over ca p (infinity) structure. A consistent free field representation of the super conformal algebra is obtained. The bosonic generators are found to be an a dmixture of free fermions and free complex bosons, unlike the linear one. T he fermionic generators become exponential in free fields, in general. (C) 2001 Elsevier Science B.V. All rights reserved.