An alternative approach to KP hierarchy in matrix models

1992/04/08 by L. Bonora, C. S. Xiong, C.S. Xiong · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Matrix Theory and Algorithms #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/0370-2693(92)91451-e

published as Phys.Lett. B285 (1992) 191-198 · 18p

arxiv created 1992/04/08 · openalex publication_date 1992/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that there exists an alternative procedure in order to extract differential hierarchies, such as the KdV hierarchy, from one--matrix models, without taking a continuum limit. To prove this we introduce the Toda lattice and reformulate it in operator form. We then consider the reduction to the systems appropriate for one--matrix model.

Cited by

• Properties of nonlocal charges in the supersymmetric two boson hierarchy
• Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies
• The minimal N = 2 superextension of the NLS equation
• Extension of the discrete KP hierarchy
• An algebraic scheme associated with the non-commutative KP hierarchy and some of its extensions
• Toda and Volterra lattice equations from discrete symmetries of KP hierarchies