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Zbl 0941.37525
Aratyn, H.; Ferreira, L.A.; Gomes, J.F.; Zimerman, A.H.
On two-current realization of KP hierarchy.
(English)
[J] Nucl. Phys., B 402, No.1-2, 85-117 (1993). ISSN 0550-3213

Summary: A simple description of the KP hierarchy and its multi-Hamiltonian structure is given in terms of two Bose currents. A deformation scheme connecting various $W_\infty$ algebras and the relation between two fundamental nonlinear structures are discussed. Properties of Faá di Bruno polynomials are extensively explored in this construction. Applications of our method are given for the conformal affine Toda model, WZNW models and discrete KP approach to Toda lattice chain.
MSC 2000:
*37K10 Completely integrable systems etc.
35Q58 Other completely integrable PDE
81R10 Repres. of infinite-dim. groups and algebras from quantum theory
81T40 Two-dimensional field theories, etc.

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