Two types of multicomponent matrix loop algebras and its application

DOI10.1063/1.2719140zbMath1144.81340OpenAlexW1977247867MaRDI QIDQ3529736

Wei Yuan, Huan He Dong

Publication date: 14 October 2008

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

Full work available at URL: https://doi.org/10.1063/1.2719140

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items (1)

Some reductions from a Lax integrable system and their Hamiltonian structures

Cites Work

• Integrable theory of the perturbation equations.
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Integrable couplings of Botie-Pempinelli-Tu (BPT) hierarchy
• Adjoint symmetry constraints of multicomponent AKNS equations.
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
• 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
• Extension of hereditary symmetry operators
• A class of coupled KdV systems and their bi-Hamiltonian formulation
• Coupling one-dimensional time-dependent classical and quantum transport models

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