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Journal ArticleDOI

Nonlinear Dispersive Waves

O M Phillips
- 01 Jan 1974 - 
- Vol. 6, Iss: 1, pp 93-110
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This article is published in Annual Review of Fluid Mechanics.The article was published on 1974-01-01. It has received 31 citations till now. The article focuses on the topics: Dispersive partial differential equation & Nonlinear system.

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Resonant interactions among surface water waves

TL;DR: In this article, the elementary interactions of three and four-wave resonances are examined as well as deterministic and stochastic models for wavefields comprising either a broad or narrow spectrum of waves interacting in multiple and coupled sets.
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Evolution of a Random Directional Wave and Freak Wave Occurrence

TL;DR: In this article, the evolution of a random directional wave in deep water was studied in a laboratory wave tank (50 m long, 10 m wide, 5 m deep) utilizing a directional wave generator.
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Modern internal waves and internal tides along oceanic pycnoclines: Challenges and implications for ancient deep-marine baroclinic sands

TL;DR: In this paper, internal solitary waves (i.e., solitons), the most common type, are commonly generated near the shelf edge (100-200 m [328-656 ft] in bathymetry) and in the deep ocean over areas of sea-floor irregularities, such as mid-ocean ridges, seamounts, and guyots.
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Comment on “Internal waves, an under-explored source of turbulence events in the sedimentary record” by L. Pomar, M. Morsilli, P. Hallock, and B. Bádenas [Earth-Science Reviews, 111 (2012), 56–81]

TL;DR: In this paper, an attempt to alert the sedimentologic community that there is an immediate need to carry out fundamental research on process sedimentology of internal waves and internal tides in modern oceans is made.
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An efficient computational technique for time-fractional modified Degasperis-Procesi equation arising in propagation of nonlinear dispersive waves

TL;DR: In this paper, an efficient hybrid numerical scheme which is based on a joint venture of the q-homotopy analysis method and Sumudu transform is applied to investigate the time-fractional modified Degasperis-Procesi (DP) equation.