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Discrete rogue waves of the Ablowitz-Ladik and Hirota equations

✍ Scribed by Ankiewicz, Adrian; Akhmediev, Nail; Soto-Crespo, J.

Book ID
115509410
Publisher
The American Physical Society
Year
2010
Tongue
English
Weight
475 KB
Volume
82
Category
Article
ISSN
1063-651X

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✍ Alidou Mohamadou; Ferdinand Fopa; Timoléon Crépin Kofané 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 642 KB

Spatial structures as a result of a modulational instability are obtained in the integrable discrete nonlinear Schro ¨dinger equation (Ablowitz-Ladik equation). Discrete slow space variables are used in a general setting and the related finite differences are constructed. Analyzing the ensuing equat