Back to Search
Start Over
On spatial Fourier spectrum of rogue wave breathers
- Source :
- Mathematical Methods in the Applied Sciences. 46:3405-3421
- Publication Year :
- 2022
- Publisher :
- Wiley, 2022.
-
Abstract
- In this article, we derive exact analytical expressions for the spatial Fourier spectrum of the soliton family on a constant background. Also known as breathers, these solitons are exact solutions of the nonlinear Schr\"odinger equation and are considered as prototypes for rogue wave models. Depending on the periodicity in the spatial-temporal domain, the characteristics in the wavenumber-temporal domain may feature either a continuous or discrete spectrum.<br />Comment: 16 pages, 10 figures, 22 references
- Subjects :
- Nonlinear Sciences::Exactly Solvable and Integrable Systems
35Q55 (Primary), 35C08, 35Q35, 35Q60, 37K40, 76B15 (Secondary)
General Mathematics
Fluid Dynamics (physics.flu-dyn)
General Engineering
FOS: Physical sciences
Physics - Fluid Dynamics
Pattern Formation and Solitons (nlin.PS)
Nonlinear Sciences - Pattern Formation and Solitons
Nonlinear Sciences::Pattern Formation and Solitons
Subjects
Details
- ISSN :
- 10991476 and 01704214
- Volume :
- 46
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi.dedup.....414faab90eaa099245f342a2bc971500
- Full Text :
- https://doi.org/10.1002/mma.8803