Nonlinear fast growth of water waves under wind forcing
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In this article, a coordinate transformation is defined to map the forced nonlinear Schrodinger (NLS) equation into the standard NLS with constant coefficients, that has a number of known analytical soliton solutions.About:
This article is published in Physics Letters A.The article was published on 2014-03-07 and is currently open access. It has received 63 citations till now. The article focuses on the topics: Wave equation & Soliton.read more
Citations
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Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity
TL;DR: The propagation of flexural gravity waves, routinely used to model wave interaction with sea ice, is studied, including the effect of compression and current, and the theory developed is illustrated with simulations of linear waves in the time domain.
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Wave amplification in the framework of forced nonlinear Schrödinger equation: The rogue wave context
TL;DR: In this paper, it is shown that the adiabatically slow pumping (the time scale of forcing is much longer than the nonlinear time scale) results in selective enhancement of the solitary part of the wave ensemble.
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Modulational instability in wind-forced waves
Maura Brunetti,Jérôme Kasparian +1 more
TL;DR: In this article, the authors considered the wind-forced nonlinear Schrodinger (NLS) equation obtained in the potential flow framework when the Miles growth rate is of the order of the wave steepness.
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Instability in nonlinear Schrödinger breathers.
TL;DR: In this article, the authors consider the problem of perturbations of the background wave in Sobolev spaces, and show that even if there is no time decay for the linear dynamics due to the modulationally unstable regime, the Schrodinger equation is still locally wellposed in Hs, s > 1/2.
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Spectral up- and downshifting of Akhmediev breathers under wind forcing
Debbie Eeltink,A. Lemoine,Hubert Branger,Olivier Kimmoun,C. Kharif,John D. Carter,Amin Chabchoub,Maura Brunetti,Jérôme Kasparian +8 more
TL;DR: In this article, the effect of wind forcing on the spectral dynamics of Akhmediev breathers, a wave-type known to model the modulation instability, was investigated and it was shown that the leading order forcing term amplifies all frequencies equally and therefore induces only a broadening of the spectrum.
References
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Femtosecond filamentation in transparent media
Arnaud Couairon,André Mysyrowicz +1 more
TL;DR: In this paper, the main aspects of ultrashort laser pulse filamentation in various transparent media such as air (gases), transparent solids and liquids are introduced and discussed.
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On the generation of surface waves by shear flows
TL;DR: In this paper, an approximate solution to the boundary value problem is developed for a logarithmic profile and the corresponding spectral distribution of the energy transfer coefficient calculated as a function of wave speed.
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Water waves, nonlinear Schrödinger equations and their solutions
TL;DR: In this article, a number of ases in which these equations reduce to a one dimensional nonlinear Schrodinger (NLS) equation are enumerated, and several analytical solutions of NLS equations are presented, with discussion of their implications for describing the propagation of water waves.
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Ultrashort filaments of light in weakly ionized, optically transparent media
TL;DR: In this article, the authors present the landmarks of the 10-odd-year progress in this field, focusing on the theoretical modeling of the propagation equations, whose physical ingredients are discussed from numerical simulations.
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Quasi-linear Theory of Wind-Wave Generation Applied to Wave Forecasting
TL;DR: In this article, the effect of wind-generated gravity waves on the airflow is discussed using quasi-linear theory of wind wave generation, and a sensitive dependence of the aerodynamic drag on wave age is found, explaining the scatter in plots of the experimentally observed drag as a function of the wind speed at 10m height.