Title

Rogue Waves And Enhanced Downshifting In A Wind-Driven Sea

Keywords

damped driven nonlinear schrodinger equation; downshifting; nonlinear damping; rogue waves

Abstract

In this paper we investigate the effects of nonlinear damping with and without linear damping/forcing in a sea state modeled by higher-order NLS in a two unstable mode regime. In particular, we are interested in how the linear term affects downshifting, rogue wave formation, and the number of rogue waves. We find that irreversible downshifting occurs when the nonlinear damping is the dominant damping effect. In particular, when only nonlinear damping is present, permanent downshifting occurs for all values of the nonlinear damping parameter β, appearing abruptly for larger values of β. We find including linear damping weakens the nonlinear damping effect of downshifting while linear forcing enhances the downshifting. © 2013 AIP Publishing LLC.

Publication Date

12-16-2013

Publication Title

AIP Conference Proceedings

Volume

1562

Number of Pages

177-190

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1063/1.4828691

Socpus ID

84890082862 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84890082862

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