Expansion of Lie Algebra and Its Application
DOI10.1088/0253-6102/47/1/004zbMath1355.81090OpenAlexW1986434584WikidataQ115294192 ScholiaQ115294192MaRDI QIDQ2959137
Publication date: 7 February 2017
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0253-6102/47/1/004
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)
Cites Work
- A (2 + 1)-dimensional integrable hierarchy and its extending integrable model
- A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
- The multi-component KdV hierarchy and its multi-component integrable coupling system
- A new loop algebra and a multi-component integrable system similar to the TC hierarchy
- A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system
- New integrable systems of derivative nonlinear Schrödinger equations with multiple components
- A generalized multi-component AKNS hierarchy
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- Multi-Field Integrable Systems Related to WKI-Type Eigenvalue Problems
- A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
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