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A discrete Schrodinger spectral problem and associated evolution equations

M. Boiti·M. Bruschi·F. Pempinelli·B. Prinari
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Abstract

A recently proposed discrete version of the Schrodinger spectral problem is considered. The whole hierarchy of differential-difference nonlinear evolution equations associated to this spectral problem is derived. It is shown that a discrete version of the KdV, sine-Gordon and Liouville equations are included and that the so called `inverse' class in the hierarchy is local. The whole class of related Darboux and Backlund transformations is also exhibited.

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M. Boiti, M. Bruschi, F. Pempinelli, B. Prinari. 2002-06-11. A discrete Schrodinger spectral problem and associated evolution equations. https://doi.org/10.1088/0305-4470%2F36%2F1%2F309

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