Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1868107 | Physics Letters A | 2006 | 9 Pages |
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
Da-Jun Zhang, Tong-Ke Ning, Jin-Bo Bi, Deng-Yuan Chen,