The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems

1989/02/01 by Gui-zhang Tu · 8 citations
Physics and Astronomy · Chemistry · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Molecular spectroscopy and chirality

paper · doi:10.1063/1.528449

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].

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