Lax representation, r-matrix method, and separation of variables for the Neumann-type restricted flow

DOI10.1063/1.532424zbMath1002.37031OpenAlexW1967152192MaRDI QIDQ4260517

Ruguang Zhou

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532424

Mathematics Subject Classification ID

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

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Cites Work

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• Dynamical \(r\)-matrices for the constrained Harry-Dym flows
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• POISSON STRUCTURE AND INTEGRABILITY OF THE NEUMANN-MOSER-UHLENBECK MODEL
• A nonconfocal generator of involutive systems and three associated soliton hierarchies
• Restricted flows of the AKNS hierarchy
• Completely Integrable Generalized C. Neumann Systems on Several Symplectic Submanifolds
• The deduction of the Lax representation for constrained flows from the adjoint representation
• Nonlinear wave equations and constrained harmonic motion