The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- 1 February 1989
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 30 (2) , 330-338
- https://doi.org/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].Keywords
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