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Tau-function formalism for supersymmetric KP hierarchies

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Martínez Alonso, Luis and Medina Reus, Elena (1995) Tau-function formalism for supersymmetric KP hierarchies. Journal of mathematical physics, 36 (9). pp. 4898-4913. ISSN 0022-2488

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Official URL: http://dx.doi.org/10.1063/1.530927


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Abstract

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.


Item Type:Article
Additional Information:

©1995 American Institute of Physics.
The authors would like to thank Professor A. Ibort for many helpful conversations. The financial support of the CICYT is also acknowledged.

Uncontrolled Keywords:Super-virasoro constraints; Equations
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34489
Deposited On:26 Nov 2015 17:06
Last Modified:10 Dec 2018 15:10

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