Tau-function formalism for supersymmetric KP hierarchies | Zendy

Luis Martı́nez Alonso | Zendy; Елена Медина | Zendy

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Tau-function formalism for supersymmetric KP hierarchies

Author(s) -

Luis Martı́nez Alonso,

Елена Медина

Publication year - 1995

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.530927

Subject(s) - formalism (music) , jacobian matrix and determinant , mathematics , mathematical physics , wave function , vertex (graph theory) , pure mathematics , supersymmetry , ramanujan tau function , bilinear interpolation , physics , quantum mechanics , discrete mathematics , graph , art , musical , statistics , ramanujan's sum , visual arts

We consider the Manin-Radul and Jacobian supersymmetric KP hierarchies from the point of view of the tau-function formalism. Solutions of their associated systems of Sato equations are characterized in terms of correlation functions of supersymmetric vertex operators of superghost type. The expression of the wave functions of these hierarchies in terms of tau-functions is obtained and the corresponding bilinear identities are established. Explicit methods for generating soliton and rational solutions are given

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