Hamiltonian forms of the two new integrable systems and two kinds of Darboux transformations

DOI10.1016/J.AMC.2014.07.006zbMath1335.37052OpenAlexW2006168640MaRDI QIDQ278332

Liangyun Chen, Baiying He

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.006

zbMATH Keywords

bi-Hamiltonian structureDarboux transformationmatrix Lie algebraquadratic-form identity

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (2)

The quasi-AKNS and quasi-\(s o(3)\) type AKNS hierarchies as well as a gallery of simple Lie algebras contained in \(s l(3; \mathbb{C})\) ⋮ A new method of dynamical stability, i.e. fractional generalized Hamiltonian method, and its applications

Cites Work

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• Multi-component bi-Hamiltonian Dirac integrable equations
• Integrable couplings of the hierarchies of evolution equations.
• The integrable coupling of the AKNS hierarchy and its Hamiltonian structure
• A New Loop Algebra and Corresponding Computing Formula of Constant γ in Quadratic-Form Identity
• SPECTRAL RADIUS ANALYSIS OF MATRICES AND THE ASSOCIATED WITH INTEGRABLE SYSTEMS
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Induced Lie Algebras of a Six-Dimensional Matrix Lie Algebra
• A Complex Higher-Dimensional Lie Algebra with Real and Imaginary Structure Constants as Well as Its Decomposition

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