Abstract
We show the complete integrability of N=2 nonstandard KP flows establishing the bi-Hamiltonian structures. One of Hamiltonian structures is shown to be isomorphic to the nonlinear N=2 W ̂ ∞ algebra with the bosonic sector having W ̂ 1+∞⊕ W ̂ ∞ structure. A consistent free field representation of the super conformal algebra is obtained. The bosonic generators are found to be an admixture of free fermions and free complex bosons, unlike the linear one. The fermionic generators become exponential in free fields, in general.
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