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International Journal of Engineering Mathematics
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Rational-Like Solutions of a Differential-Difference Equation Related to Ablowitz-Ladik Spectral Problem

Rational-like solutions of a differential-difference equation related to Ablowitz-Ladik spectral problem
descriptionPublicationkeyboard_double_arrow_right Article 03 Sep 2015 English Publisher:WileyJournal:International Journal of Engineering Mathematics, volume 2,015, pages 1-6 (issn: 2356-7007, eissn: 2314-6109, Copyright policy )
Authors: Jiang-ping Zhang; Qi Li; Shou-ting Chen;

doi: 10.1155/2015/373798

Rational-Like Solutions of a Differential-Difference Equation Related to Ablowitz-Ladik Spectral Problem

Abstract

By using the Casoratian technique, we construct the double Casoratian solutions whose entries satisfy matrix equation of a differential-difference equation related to the Ablowitz-Ladik spectral problem. Soliton solutions and rational-like solutions are obtained from taking special cases in general solutions.

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Keywords

matrix equation, Soliton solutions, Casoratian solutions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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