The Hamiltonian structures associated with a generalized Lax operator

DOI10.1063/1.529619zbMath0788.35116OpenAlexW2016315116MaRDI QIDQ4033957

Ashok Das, Wen-Jui Huang

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1063/1.529619

zbMATH Keywords

KP hierarchyLax equationGelfand-Dikij bracket

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (7)

NONLOCAL EXTENDED CONFORMAL ALGEBRAS ASSOCIATED WITH MULTICONSTRAINT KP HIERARCHY AND THEIR FREE FIELD REALIZATIONS ⋮ On diff(S1) covariantization of pseudodifferential operator ⋮ The Hamiltonian structures of the super-KP hierarchy associated with an even parity super-Lax operator ⋮ Superconformal covariantization of superdifferential operator on (1‖1) superspace and classical N=2 W superalgebras ⋮ Properties of Moyal-Lax representation ⋮ Dispersionless fermionic KdV ⋮ A one-parameter family of Hamiltonian structures for the KP hierarchy and a continuous deformation of the nonlinear \(W_{\text{KP}}\) algebra

Cites Work

• A short proof of a Kupershmidt-Wilson theorem
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• Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II
• Lie algebras and equations of Korteweg-de Vries type
• Modifying Lax equations and the second Hamiltonian structure
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• The resolvent and Hamiltonian systems
• Commuting flows and conservation laws for Lax equations
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• A simple model of the integrable Hamiltonian equation
• Integrals of nonlinear equations of evolution and solitary waves

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