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New symmetries for the Ablowitz-Ladik hierarchies

Da-jun Zhang·Tong-ke Ning·Jin-bo Bi·Deng-yuan Chen
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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.

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Da-jun Zhang, Tong-ke Ning, Jin-bo Bi, Deng-yuan Chen. 2006-01-26. New symmetries for the Ablowitz-Ladik hierarchies. https://doi.org/10.1016/j.physleta.2006.06.077

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