The computational formula on the constant \(\gamma\) appeared in the equivalently used trace identity and quadratic-form identity

DOI10.1016/j.chaos.2006.11.033zbMath1146.37353OpenAlexW2027224969MaRDI QIDQ953592

Fukui Guo, Yu-Feng Zhang

Publication date: 6 November 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.11.033

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) General nonassociative rings (17A99)

Related Items (5)

A generalized Dirac soliton hierarchy and its bi-Hamiltonian structure ⋮ Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling ⋮ New soliton hierarchies associated with the real Lie algebra so(4,R) ⋮ Two integrable couplings of a generalized d-Kaup-Newell hierarchy and their Hamiltonian and bi-Hamiltonian structures ⋮ Four Lie algebras associated with R6 and their applications

Cites Work

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• 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
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• The inverse scattering transform: Semi-infinite interval
• An exact solution for a derivative nonlinear Schrödinger equation
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

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