Matrix formulation of Hamiltonian structures of constrained KP hierarchy

DOI10.1063/1.532464zbMath0927.37039arXivsolv-int/9801019OpenAlexW1999792743MaRDI QIDQ4701615

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Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9801019

zbMATH Keywords

KP hierarchyHamiltonian structuresGelfand-Dickey bracketmulticonstraint case

Mathematics Subject Classification ID

Related Items (1)

Hamiltonian structures of the constrained \(\mathfrak{F}\)-valued KP hierarchy

Cites Work

• Lie algebras and equations of Korteweg-de Vries type
• Multi-field representations of the KP hierarchy and multi-matrix models
• Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices
• Constrained KP hierarchy and bi-Hamiltonian structures
• Many boson realizations of universal nonlinear \(W_ \infty\)-algebras, modified KP hierarchies, and graded Lie algebras
• Integrable nonlinear equations and Liouville's theorem. I
• On the constrained KP hierarchy. II
• Modifying the KP, the \(n^{th}\) constrained KP hierarchies and their Hamiltonian structures
• The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated \(W\) algebra
• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• (1+1)-dimensional Hamiltonian systems as symmetry constraints of the Kadomtsev-Petviashvili equation
• Constraints of the Kadomtsev–Petviashvili hierarchy
• The (N,M)th Korteweg–de Vries hierarchy and the associated W-algebra
• Constrained KP models as integrable matrix hierarchies
• Affine Lie algebraic origin of constrained KP hierarchies
• Bi-Hamiltonian structures of the coupled AKNS hierarchy and the coupled Yajima–Oikawa hierarchy

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