Modulation instability, Fermi-Pasta-Ulam recurrence, rogue waves, nonlinear phase shift, and exact solutions of the Ablowitz-Ladik equation
Download (861.69 kB)
-
Altmetric Citations
Akhmediev, Nail; Ankiewicz, Adrian
Description
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 family of two-parameter solutions with an arbitrary background field and a frequency of initial perturbation. The solutions are recurrent, since they return the field state to the original constant background solution after the process of...[Show more]
Collections | ANU Research Publications |
---|---|
Date published: | 2011-04-20 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/15439 |
Source: | Physical Review E |
DOI: | 10.1103/PhysRevE.83.046603 |
Download
File | Description | Size | Format | Image |
---|---|---|---|---|
Akhmediev and Ankiewicz Modulation Instability 2011.pdf | 861.69 kB | Adobe PDF | ![]() |
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.
Updated: 19 May 2020/ Responsible Officer: University Librarian/ Page Contact: Library Systems & Web Coordinator