Noncommutative integrability and recursion operators

DOI10.1016/S0393-0440(00)00026-7zbMath0967.37034MaRDI QIDQ1840566

Gaetano Vilasi, G. Giovanni Sparano

Publication date: 31 August 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

recursion operatornoncommutative integrabilityinvariant mixed tensor field

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (7)

Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects. ⋮ Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space ⋮ Superintegrable Systems and Recursion Operators ⋮ Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries ⋮ SPIN-1 GRAVITATIONAL WAVES: THEORETICAL AND EXPERIMENTAL ASPECTS ⋮ GEOMETRICAL ASPECTS OF MIXED TORSIONLESS TENSOR FIELDS ⋮ Stratified Lie systems: theory and applications

Cites Work

• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
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• Theory of tensor invariants of integrable Hamiltonian systems. II: Theorem on symmetries and its applications
• The generalized Zakharov-Shabat system and the soliton perturbations
• Theory of tensor invariants of integrable Hamiltonian systems. I: Incompatible Poisson structures
• Action-angle variables for a multicomponent nonlinear Schrödinger equation
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• THE STRUCTURES OF HAMILTONIAN MECHANICS
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Recursion operators: Meaning and existence for completely integrable systems
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves
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