Two types of new Lie algebras and corresponding hierarchies of evolution equations

DOI10.1016/S0375-9601(03)00165-8zbMath1011.17018OpenAlexW1978153471MaRDI QIDQ5917475

Yu-Feng Zhang

Publication date: 26 March 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00165-8

zbMATH Keywords

reductionloop algebrasintegrable Hamiltonian hierarchies

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Heat equation (35K05) NLS equations (nonlinear Schrödinger equations) (35Q55) 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 (7)

Nonlinear bi-integrable couplings of multicomponent Guo hierarchy with self-consistent sources ⋮ A higher dimensional loop algebra and integrable couplings system of evolution equations hierarchy ⋮ A higher-dimensional multi-component integrable hierarchy and its integrable couplings ⋮ A new Lie algebra and corresponding evolution equations hierarchy ⋮ Two types of new Lie algebras and corresponding hierarchies of evolution equations ⋮ Two types of new Lie algebras and related Liouville integrable hierarchies ⋮ A (2 + 1)-dimensional integrable hierarchy and its extending integrable model

Cites Work

• Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• An approach to generate superextensions of integrable systems

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