New computational formulae concerning the constant in the trace identity and the quadratic-form identity

DOI10.1016/j.cnsns.2008.03.011zbMath1221.37126OpenAlexW2082586739MaRDI QIDQ716636

Fukui Guo

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.03.011

zbMATH Keywords

Lie algebraloop algebraquadratic-form identitytrace identitycomputational formula

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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
• 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
• 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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