HAMILTONIAN STRUCTURES OF TWO INTEGRABLE COUPLINGS OF THE MODIFIED AKNS HIERARCHY

DOI10.1142/S0217984907014437zbMath1141.37027OpenAlexW2000563508MaRDI QIDQ3509790

Benny Y. C. Hon, Yu-Feng Zhang

Publication date: 2 July 2008

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984907014437

zbMATH Keywords

integrable systemsLie algebraHamiltonian hierarchies

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (5)

A new soliton hierarchy and its two extending integrable models ⋮ Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form ⋮ Two expanding integrable systems and quasi-Hamiltonian function associated with an equation hierarchy ⋮ TWO ENLARGED LOOP ALGEBRAS FOR OBTAINING NEW INTEGRABLE HIERARCHIES ⋮ A LIE SUPERALGEBRA AND CORRESPONDING HIERARCHY OF EVOLUTION EQUATIONS

Cites Work

• Two unified formulae
• A higher-dimensional Lie algebra and its decomposed subalgebras
• Semi-direct sums of Lie algebras and continuous integrable couplings
• The homogeneous realization of the basic representation of \(A_ 1^{(1)}\) and the Toda lattice
• Application of two loop algebras
• ON INTEGRABLE COUPLINGS OF THE DISPERSIVE LONG WAVE HIERARCHY AND THEIR HAMILTONIAN STRUCTURE
• Differential-difference AKNS equations and homogeneous Heisenberg algebras
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A coupled AKNS–Kaup–Newell soliton hierarchy
• Integrable systems and reductions of the self-dual Yang–Mills equations
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

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