Lax representation and dynamical \(r\)-matrix for a new Neumann type integrable model

DOI10.1016/j.chaos.2004.09.010zbMath1071.37043OpenAlexW2068617900MaRDI QIDQ1771789

Jinbing Chen

Publication date: 18 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.010

zbMATH Keywords

integrabilityspectral problemLax pairsHamilton system\(r\)-matrix theoryNeumann type

Mathematics Subject Classification ID

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

Related Items (1)

The Neumann type systems and algebro-geometric solutions of a system of coupled integrable equations

Cites Work

• Nonlinearization of the Lax system for AKNS hierarchy
• Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• A Generalization of Inverse Scattering Method
• New Integrable Nonlinear Evolution Equations
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Lax representation, r-matrix method, and separation of variables for the Neumann-type restricted flow
• r-Matrix for the Restricted KdV Flows with the Neumann Constraints
• The deduction of the Lax representation for constrained flows from the adjoint representation
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