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Modulation instability, Fermi-Pasta-Ulam recurrence, rogue waves, nonlinear phase shift, and exact solutions of the Ablowitz-Ladik equation

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Date

2011

Authors

Akhmediev, Nail
Ankiewicz, Adrian

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

We study modulation instability (MI) of the discrete constant-background wave of the Ablowitz-Ladik (A-L) equation. We derive exact solutions of the A-L equation which are nonlinear continuations of MI at longer times. These periodic solutions comprise a

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Keywords

Citation

URI

http://hdl.handle.net/1885/70364

Collections

Open Access Research

Source

Physical Review E-Statistical, Nonlinear and Soft Matter Physics

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1103/PhysRevE.83.046603

Restricted until

2037-12-31

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01_Akhmediev_Modulation_instability,_2011.pdf (861.69 KB)

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