A family of integrable systems of Liouville and Lax representation, Darboux transformations for its constrained flows

DOI10.1007/BF02437727zbMath1048.37066OpenAlexW2318462493MaRDI QIDQ1611482

Hong-Qing Zhang, Yu-Feng Zhang

Publication date: 22 February 2004

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02437727

zbMATH Keywords

integrable systemsHamiltonian systemsLax representationDarboux transformationconstrained flows

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• New factorization of the Kaup-Newell hierarchy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy
• Unnamed Item

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