An algebraic characterization of the Korteweg-de Vries hierarchy

DOI10.1215/S0012-7094-01-10823-5zbMath1028.37040OpenAlexW2086331860MaRDI QIDQ1847840

François Treves

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-01-10823-5

zbMATH Keywords

KdV hierarchyconserved differential polynomial

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (7)

Vanishing residue characterization of the sine-Gordon hierarchy ⋮ On a theorem by Treves ⋮ Convergence to normal forms of integrable PDEs ⋮ NONCOMMUTATIVE KdV HIERARCHY ⋮ On the Treves theorem for the Ablowitz–Kaup–Newell–Segur equation ⋮ A new proof of the Treves theorem for the KdV hierarchy. ⋮ Boussinesq hierarchy and bi-Hamiltonian geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Darboux coverings and rational reductions of the KP hierarchy
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• A simple model of the integrable Hamiltonian equation
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
• The two-singular-manifold method: I. Modified Korteweg-de Vries and sine-Gordon equations
• Integrals of nonlinear equations of evolution and solitary waves

This page was built for publication: An algebraic characterization of the Korteweg-de Vries hierarchy