An integrable Hamiltonian hierarchy and its constrained flows with generalized Hamiltonian regular representations, as well as its expanding integrable system

DOI10.1016/S0960-0779(03)00057-2zbMath1069.37054OpenAlexW1989076031MaRDI QIDQ1433780

Yu-Feng Zhang

Publication date: 1 July 2004

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00057-2

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

• Integrable couplings of Botie-Pempinelli-Tu (BPT) hierarchy
• Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
• The Modified Korteweg-de Vries Equation
• Lie–Bäcklund symmetries of certain nonlinear evolution equations under perturbation around their solutions
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• An approach to generate superextensions of integrable systems
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem
• Unnamed Item

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