A new subalgebra of the Lie algebra \(A_{2}\) and two types of integrable Hamiltonian hierarchies, expanding integrable models

DOI10.1016/J.CHAOS.2003.12.016zbMath1048.37062OpenAlexW1991443730WikidataQ115359437 ScholiaQ115359437MaRDI QIDQ1878207

Qingyou Yan, Xiaopeng Wei, Yu-Feng Zhang

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.016

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (3)

A new soliton hierarchy and its two extending integrable models ⋮ A new loop algebra and its expanded loop algebras, as well as their applications ⋮ A generalized Broer-Kaup (GBK) hierarchy and its expanding integrable system

Cites Work

• Integrable theory of the perturbation equations.
• 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
• 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
• Unnamed Item

This page was built for publication: A new subalgebra of the Lie algebra \(A_{2}\) and two types of integrable Hamiltonian hierarchies, expanding integrable models