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Book
Rogue Waves
Authors: --- --- --- --- --- et al.
ISBN: 3110469693 3110470578 9783110469691 9783110470574 9783110469424 3110469421 Year: 2017 Publisher: Berlin Boston

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Abstract

This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering. ContentsThe Research Process for Rogue WavesConstruction of Rogue Wave Solution by the Generalized Darboux TransformationConstruction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering MethodThe Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model


Book
Extreme ocean waves
Authors: ---
ISBN: 1281512540 9786611512545 1601199627 1402083149 1402083130 9048178398 Year: 2008 Publisher: [Dordrecht] : Springer,

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Abstract

Extreme, freak or rogue waves are produced by a number of physical mechanisms that focus the water-wave energy into a small area, due to wave instability, chaotic behaviour, dispersion (frequency modulation), refraction (presence of variable currents or bottom topography), soliton interactions, etc. During the past thirty years a number of physical models of the rogue wave phenomenon have been intensively developed. Numerous experimental, statistical and theoretical investigations are intended to understand the physics of the huge wave formation, its relation to the environmental conditions and to provide a freak wave design for engineering purposes. The book details the vast progress that has been achieved in the understanding of the physical mechanisms of rogue wave phenomenon in recent years. The selected articles address such issues as the formation of freak waves due to modulation instability of nonlinear wave field, physical and statistical properties of rogue wave generation in deep water and in shallow water, various models of nonlinear water waves, special analysis of nonlinear resonances between water waves and the relation between observations and freak wave theories. The book is written for specialists in the fields of fluid mechanics, applied mathematics, nonlinear physics, physical oceanography and geophysics, and for students learning these subjects.


Book
Rogue and Shock Waves in Nonlinear Dispersive Media
Authors: --- ---
ISBN: 3319392123 331939214X Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This self-contained set of lectures addresses a gap in the literature by providing a systematic link between the theoretical foundations of the subject matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics. Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings – as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. Both aspects strongly influence the statistical properties of the wave propagation and are thus considered together here in terms of their underlying theoretical treatment. This book offers a self-contained graduate-level text intended as both an introduction and reference guide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics.


Book
Extreme Ocean Waves
Authors: ---
ISBN: 3319215744 3319215752 Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This revised and updated second edition details the vast progress that has been achieved in the understanding of the physical mechanisms of rogue wave phenomenon in recent years. The selected articles address such issues as the formation of rogue waves due to modulational instability of nonlinear wave field, physical and statistical properties of extreme ocean wave generation in deep water as well as in shallow water, various models of nonlinear water waves, special analysis of nonlinear resonances between water waves and the relation between in situ observations, experimental data and rogue wave theories. In addition, recent results on tsunami waves due to subaerial landslides are presented.This book is written for specialists in the fields of fluid mechanics, applied mathematics, nonlinear physics, physical oceanography and geophysics, and for students learning these subjects. Throughout the book, in fact, the reader will find a combination of theoretical and statistical/empirical treatment necessary for the complete examination of this subject. … Overall, ‘Extreme Ocean Waves’ is a valuable contribution to the literature on wave theory and statistics, helping fill an important gap in our knowledge of a variety of unusual waves. It should be of great interest to scientists and engineers studying physical oceanography, wave dynamics and observations, nonlinear physics, and applied mathematics.”  (Eric L. Geist, Pure and Applied Geophysics, Vol. 168, 2011).

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