On Two-Current Realization of KP Hierarchy

Details On Two-Current Realization of KP Hierarchy On Two-Current Realization of KP Hierarchy

1992-06-24

arxiv.org/abs/hep-th/9206096v1

Nucl.Phys. B402 (1993) 85-117

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, IFT-P/020/92-SAO-PAULO, Latex

Scientific paper

10.1016/0550-3213(93)90637-5

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-infinity algebras and relation between two fundamental nonlinear structures are discussed. Properties of Fa\'a 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.

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