Article ID Journal Published Year Pages File Type
1868107 Physics Letters A 2006 9 Pages PDF
Abstract
In the Letter we give new symmetries for the isospectral and non-isospectral Ablowitz-Ladik hierarchies by means of the zero curvature representations of evolution equations related to the Ablowitz-Ladik spectral problem. Lie algebras constructed by symmetries are further obtained. We also discuss the relations between the recursion operator and isospectral and non-isospectral flows. Our method can be generalized to other systems to construct symmetries for non-isospectral equations.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
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