Solving the non-isospectral Ablowitz–Ladik hierarchy via the inverse scattering transform and reductions

Qi Li, Deng-yuan Chen, Jian-bing Zhang and Shou-ting Chen

Chaos, Solitons & Fractals, 2012, vol. 45, issue 12, 1479-1485

Abstract: The non-isospectral Ablowitz–Ladik hierarchy is integrated by the inverse scattering transform. In contrast with the isospectral Ablowitz–Ladik hierarchy, the eigenvalues of the non-isospectral Ablowitz–Ladik equations in the scattering data are time-dependent. The multi-soliton solution for the hierarchy is presented. The reductions to the non-isospectral discrete NLS hierarchy and the non-isospectral discrete mKdV hierarchy and their solutions are considered.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:12:p:1479-1485

DOI: 10.1016/j.chaos.2012.08.010

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