New symmetries for the Ablowitz-Ladik hierarchies
Exactly Solvable and Integrable Systems
2009-11-11 v1
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.
Keywords
Cite
@article{arxiv.nlin/0601056,
title = {New symmetries for the Ablowitz-Ladik hierarchies},
author = {Da-jun Zhang and Tong-ke Ning and Jin-bo Bi and Deng-yuan Chen},
journal= {arXiv preprint arXiv:nlin/0601056},
year = {2009}
}
Comments
11 pages