Two unified formulae

DOI10.1016/j.physleta.2007.02.062zbMath1203.37105OpenAlexW1989361228MaRDI QIDQ620914

Fukui Guo, Yu-Feng Zhang

Publication date: 20 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.02.062

zbMATH Keywords

Hamiltonian structurequadratic-form identitytrace identitytri-trace identity

Mathematics Subject Classification ID

Related Items (14)

A generalized Dirac soliton hierarchy and its bi-Hamiltonian structure ⋮ Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling ⋮ HAMILTONIAN STRUCTURES OF TWO INTEGRABLE COUPLINGS OF THE MODIFIED AKNS HIERARCHY ⋮ New soliton hierarchies associated with the real Lie algebra so(4,R) ⋮ Conservation laws and self-consistent sources for a super integrable equation hierarchy ⋮ A HIERARCHY OF SOLITON EQUATIONS ASSOCIATED WITH A HIGHER-DIMENSIONAL LOOP ALGEBRA AND ITS TRI-HAMILTONIAN STRUCTURE ⋮ Component-trace identities for Hamiltonian structures ⋮ The two generalized AKNS hierarchies and their Hamiltonian structures ⋮ Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form ⋮ New extended Lie algebra and the generalized integrable Liouville hierarchy ⋮ A SOLITON HIERARCHY FROM THE LEVI SPECTRAL PROBLEM AND ITS TWO INTEGRABLE COUPLINGS, HAMILTONIAN STRUCTURE ⋮ TWO SUPER-INTEGRABLE SYSTEMS AND ASSOCIATED SUPER-HAMILTONIAN STRUCTURES ⋮ Bi-integrable couplings and tri-integrable couplings of the modified Ablowitz-Kaup-Newell-Segur hierarchy with self-consistent sources ⋮ Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti–Pempinelli–Tu hierarchy

Cites Work

• Expansion of the Lie algebra and its applications
• A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
• An extended trace identity and applications
• 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
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• An approach to generate superextensions of integrable systems
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