Note on breather type solutions of the NLS as models for freak-waves

Citation
Kb. Dysthe et K. Trulsen, Note on breather type solutions of the NLS as models for freak-waves, PHYS SCR, T82, 1999, pp. 48-52
Citations number
12
Categorie Soggetti
Physics
Journal title
PHYSICA SCRIPTA
ISSN journal
02811847 → ACNP
Volume
T82
Year of publication
1999
Pages
48 - 52
Database
ISI
SICI code
0281-1847(1999)T82:<48:NOBTSO>2.0.ZU;2-G
Abstract
Some breather type solutions of the NLS equation have been suggested by Hen derson ct al. [to appear in Wave Motion] as models for a class of 'freak' w ave events seen in 2D-simulations on surface gravity waves. In this paper w e first take a closer look on these simple solutions and compare them with some of the simulation data [Henderson et al. to appear in Wave Motion]. Ou r findings tend to strengthen the idea of Henderson et al. Especially the M a breather and the so called Peregrine solution may provide useful and simp le analytical models for 'freak' wave events.