A few expanding Lie algebras of the Lie algebra \(A_1\) and applications

DOI10.1016/J.PHYSLETA.2006.07.003zbMath1193.17015OpenAlexW2085846913WikidataQ115341646 ScholiaQ115341646MaRDI QIDQ942582

Hon-Wah Tam, Yu-Feng Zhang, En-gui Fan

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.07.003

zbMATH Keywords

Lie algebrasoliton equationintegrable coupling

Mathematics Subject Classification ID

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) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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Cites Work

• Integrable theory of the perturbation equations.
• Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
• A new algebraic system and its applications
• A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system
• Hamiltonian structure of the integrable coupling of the Jaulent-Miodek hierarchy
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• A simple method for generating integrable hierarchies with multi-potential functions
• Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Quantum deformation of KdV hierarchies and their infinitely many conservation laws
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem

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