The semidirect sum of Lie algebras and its applications to C-KdV hierarchy
DOI10.1155/2014/295068zbMath1449.37048OpenAlexW2150822786WikidataQ59037819 ScholiaQ59037819MaRDI QIDQ1723791
Xia Dong, De-Sheng Li, Tie-cheng Xia
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/295068
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) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
Cites Work
- Integrable couplings of C-KdV equations hierarchy with self-consistent sources associated with \(\tilde{sl}(4)\)
- Integrable theory of the perturbation equations.
- Semi-direct sums of Lie algebras and continuous integrable couplings
- Tri-integrable couplings by matrix loop algebras
- A Type of New Loop Algebra and a Generalized Tu Formula
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
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