Topic
Rogue wave
About: Rogue wave is a research topic. Over the lifetime, 2977 publications have been published within this topic receiving 70933 citations. The topic is also known as: freak wave & monster wave.
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TL;DR: The DeRisk project as discussed by the authors aims at an improved load evaluation procedure for extreme waves through application of advanced wave models, laboratory tests of load effects, development of hydrodynamic load models, aero-elastic response calculations and statistical analysis.
28 citations
TL;DR: In this article, a methodology to validate and post-process outputs from a high-resolution numerical wave modeling system for extreme wave estimation based on the significant wave height is introduced, which is demonstrated through the data analysis at a relatively deep water site, FINO 1, as well as a relatively shallow water area, coastal site Horns Rev, located in the North Sea, west of Denmark, where the results from the proposed methodology seem to be in good agreement with the measurements at both the relatively deep, open water and the shallow, coastal water sites, providing a potentially useful tool
28 citations
TL;DR: In this article, a selection of integrable nonlinear equations for modeling wave phenomena is presented, using first the ubiquitous Nonlinear Schrodinger (NLS) equation as a prototype integrability model, and then moving then to the vector nonlinear Schroffinger (VNLS), a natural extension to wave coupling.
Abstract: Integrable nonlinear equations modeling wave phenomena play an important role in understanding and predicting experimental observations. Indeed, even if approximate, they can capture important nonlinear effects because they can be derived, as amplitude modulation equations, by multiscale perturbation methods from various kind of wave equations, not necessarily integrable, under the assumption of weak dispersion and nonlinearity. Thanks to the mathematical property of being integrable, a number of powerful computational techniques is available to analytically construct special interesting solutions, describing coherent structures such as solitons and rogue waves, or to investigate patterns as those due to shock waves or behaviors caused by instability. This chapter illustrates a selection of these techniques, using first the ubiquitous Nonlinear Schrodinger (NLS) equation as a prototype integrable model, and moving then to the Vector Nonlinear Schrodinger (VNLS) equation as a natural extension to wave coupling.
27 citations
TL;DR: In this article, the generalized sine-Gordon equation is obtained under the theoretical investigation of interaction of few-cycle pulses in a nonlinear medium modeled by a set of four-level atoms.
Abstract: The generalized sine-Gordon equation is obtained under the theoretical investigation of interaction of few-cycle pulses in a nonlinear medium modeled by a set of four-level atoms. This equation is derived without the use of the slowly varying envelope approximation and is shown to be integrable in the frameworks of the inverse scattering transformation method. Its solutions describing the propagation of the solitons and breathers and their interaction are investigated. In the case of different signs of the parameters of the equation considered, it is revealed, in particular, that the collision of solitons with opposite polarities can lead to an appearance of the short-living pulse having extraordinarily large amplitude, whose dynamics is similar to that of rogue waves. Also, the solitons of ``rectangular'' form and the breathers with rectangular oscillations exist in the case of the same signs of the parameters.
27 citations
TL;DR: In this article, the Hirota bilinear method was used to derive the extended Kadomtsev-Petviashvili equation, which models the surface waves and internal waves in straits or channels.
Abstract: In this work, the
$$(2+1)$$
-dimensional extended Kadomtsev–Petviashvili equation, which models the surface waves and internal waves in straits or channels, is investigated via the Hirota bilinear method. N-soliton and high-order breather solutions are obtained analytically. Furthermore, mixed solutions consisting of first-order breathers and solitons are also derived, and the corresponding dynamic behaviors are shown by three-dimensional plots. Additionally, based on the long-wave limit, we obtain line rogue waves, lumps and semi-rational solutions composed of lumps, line rogue waves and solitons. It is noteworthy that the semi-rational solutions derived in this paper exhibit elastic interactions.
27 citations