A hierarchy of non-linear evolution equations its Hamiltonian structure and classical integrable system

Geng Xianguo

Physica A: Statistical Mechanics and its Applications, 1992, vol. 180, issue 1, 241-251

Abstract: An isospectral problem and a new corresponding hierarchy of non-linear evolution equations are proposed. As a reduction, a new generalized non-linear Schrödinger equation is obtained. It is shown that the hierarchy of equations possesses a bi-Hamiltonian structure. The eigenvalue problem is non-linearized so as to be a finite-dimensional completely integrable system under a constraint between the potentials and the eigenfunctions.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:180:y:1992:i:1:p:241-251

DOI: 10.1016/0378-4371(92)90117-9

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