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Humphries, Ben S., Keeler, Jack S. 
ORCID: https://orcid.org/0000-0002-8653-7970, Alberello, Alberto ORCID: https://orcid.org/0000-0001-7957-4012 and Părău, Emilian I. ORCID: https://orcid.org/0000-0001-5134-2068
(2025)
Evolution of nonlinear waves with heterogeneous damping and forcing.
Wave Motion, 134.
ISSN 0165-2125
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Abstract
Slowly modulated nonlinear-waves are ubiquitous in nature and their weakly nonlinear dynamics are described by the nonlinear Schrödinger equation (NLS) or its higher order version, i.e. Dysthe’s equation. There is no inherent dissipation mechanism in these equations, however, in many physical systems the wave evolution is affected by energy gains and losses and therefore these NLS-like equations have to be modified to include these effects. Here, we focus on the evolution of wind-forced ocean waves propagating in ice-covered waters, such as in the polar regions. The peculiar feature of this physical system is the heterogeneous, frequency-dependent, attenuation. Here, we showcase the combined effect of higher order nonlinearity and heterogeneous dissipation on the wave dynamics.
| Item Type: | Article |
|---|---|
| Additional Information: | Data availability statement: Data will be made available on request. Funding information: The authors acknowledge funding from EPSRC, United Kingdom (EP/Y02012X/1). JSK acknowledges funding from the Leverhulme Trust, United Kingdom (ECF-2021-017). BSH acknowledges support from the Institute of Mathematics and Applications through the QJMAM Fund for Applied Mathematics |
| Uncontrolled Keywords: | nonlinear waves,nonlinear schrödinger equation,dysthe equation,damping,forcing |
| Faculty \ School: | Faculty of Science > School of Engineering, Mathematics and Physics |
| UEA Research Groups: | Faculty of Science > Research Groups > Fluids & Structures Faculty of Science > Research Groups > Quantum Matter |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 09 Jan 2025 01:03 |
| Last Modified: | 14 Jan 2025 00:58 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/98126 |
| DOI: | 10.1016/j.wavemoti.2024.103482 |
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