Gauge transformation and bi-Hamiltonian structure of finite-dimensional integrable system reduced from a soliton equation
- 1 January 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (1) , L11-L16
- https://doi.org/10.1088/0305-4470/24/1/004
Abstract
The author presents a method for using a gauge transformation to construct a bi-Hamiltonian structure of a finite-dimensional integrable Hamiltonian system reduced from a soliton equation. This is used to construct the bi-Hamiltonian structure for two systems which are related to the second-order polynomial spectral problem and its modified spectral problem, respectively.Keywords
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