Quasi-Bi-Hamiltonian Systems Obtained from Constrained Flows

DOI10.2991/jnmp.2001.8.s.52zbMath0982.37071OpenAlexW4246904265MaRDI QIDQ2732500

Yunbo Zeng

Publication date: 20 January 2002

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

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.52

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear first-order PDEs (35F20)

Cites Work

• Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
• Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
• New factorization of the Kaup-Newell hierarchy
• Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables
• Bi-Hamiltonian structure of an integrable Henon-Heiles system
• Restricted flows of the AKNS hierarchy
• Quadrics on real Riemannian spaces of constant curvature: Separation of variables and connection with Gaudin magnet
• Quasi-bi-Hamiltonian systems and separability
• On separability of bi-Hamiltonian chain with degenerated Poisson structures
• Two degrees of freedom quasi-bi-Hamiltonian systems
• The deduction of the Lax representation for constrained flows from the adjoint representation
• Families of dynamical r-matrices and Jacobi inversion problem for nonlinear evolution equations

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