On The Hamiltonian Structures and The Reductions of The KP Hierarchy

1992/10/15 by Didier A. Depireux, Didier A Depireux, Depireux, Didier A +2
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Industrial Technology and Control Systems #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9210080

8 pages with harvmac, IASSNS-HEP-92/66, LAVAL PHY-26-92

arxiv created 1992/10/15 · openalex publication_date 1992/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recent work on a free field realization of the Hamiltonian structures of the classical KP hierarchy and of its flows is reviewed. It is shown that it corresponds to a reduction of KP to the NLS system. (Talk given by D.A.D. at the NSERC-CAP Workshop on Quantum Groups, Integrable Models and Statistical Systems, Kingston, Canada July 13-17 1992.)

Related

• On the constrained KP hierarchy II, An additional remark
• Hamiltonian Structures of Multi-component Constrained KP Hierarchy
• Hamiltonian Structures of KdV-Type Hierarchies and Associated W-Algebras
• The KdV Action and Deformed Minimal Models
• The Hamiltonian structure of discrete KP equations