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The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
Journal of Mathematical Physics · 1989 · Vol. 30(2) · pp. 330–338
Gui-zhang Tu✉(Nankai University)
Abstract
A new approach to Hamiltonian structures of integrable systems is proposed by making use of a trace identity. For a variety of isospectral problems that can be unified to one model ψx=Uψ, it is shown that both the related hierarchy of evolution equations and the Hamiltonian structure can be obtained from the same solution of the equation Vx=[U,V].
Nonlinear Waves and SolitonsNonlinear Photonic SystemsMolecular spectroscopy and chiralityIsospectralIntegrable systemCamassa–Holm equationHamiltonian (control theory)MathematicsHamiltonian systemHierarchyTRACE (psycholinguistics)Mathematical physicsPure mathematics
Funding
- National Science Foundation
Citations
611
FWCI
3.74
field-weighted impact
References
28
Percentile
94%
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Citations per year
References
An exact solution for a derivative nonlinear Schrödinger equation
Journal of Mathematical Physics · 1978 · 1,311 citations
A simple model of the integrable Hamiltonian equation
Journal of Mathematical Physics · 1978 · 1,353 citations
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