Hamiltonian structures of the constrained \(\mathfrak{F}\)-valued KP hierarchy
type: Item
instance of: scholarly article
title: Hamiltonian structures of the constrained \(\mathfrak{F}\)-valued KP hierarchy
zbMATH Open document ID: 1395.37047
DOI: 10.1016/S0034-4877(15)30022-7
author: Hai Zhang
author: Dafeng Zuo
published in: Reports on Mathematical Physics
publication date: 2015-11-13T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 17B80
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6508465
zbMATH Keywords: the constrained \(\mathfrak{F}\)-KP hierarchy
zbMATH Keywords: Hamiltonian structures
MaRDI profile type: Publication
cites work: On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
cites work: Constrained KP hierarchies: additional symmetries, Darboux-Bäcklund solutions and relations to multi-matrix models.
cites work: Non-local matrix generalizations of \(W\)-algebras
cites work: Constraints of the Kadomtsev–Petviashvili hierarchy
cites work: Constraints of the 2+1 dimensional integrable soliton systems
cites work: Modifying the KP, the \(n^{th}\) constrained KP hierarchies and their Hamiltonian structures
cites work: KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
cites work: Q3688825
cites work: Q3211730
cites work: Q4003380
cites work: Matrix formulation of Hamiltonian structures of constrained KP hierarchy
cites work: Constrained KP hierarchy and bi-Hamiltonian structures
cites work: Q5621188
cites work: The AKNS hierarchy as symmetry constraint of the KP hierarchy
cites work: Modifying Lax equations and the second Hamiltonian structure
cites work: Q4488071
cites work: The vector \(k\)-constrained KP hierarchy and Sato's Grassmannian
cites work: Q3308741
cites work: Additional symmetries and string equation of the CKP hierarchy
cites work: On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry
cites work: Additional symmetries of constrained CKP and BKP hierarchies
cites work: Hamiltonian structure of Sato's hierarchy of KP equations and a coadjoint orbit of a certain formal Lie group
cites work: On Segal-Wilson's construction for the \(\tau\)-functions of the constrained KP hierarchies
cites work: On the sub-KP hierarchy and its constraints, revisited
cites work: Frobenius manifolds and Frobenius algebra-valued integrable systems
full work available at URL: s0034-4877(15)30022-7
OpenAlex ID: W2186663382
description: scientific article; zbMATH DE number 6508465