Nonlinear Ocean Waves and the Inverse Scattering Transform

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  • Author : Alfred R. Osborne
  • Publisher : Unknown
  • Pages : 917 pages
  • ISBN : 9780125286299
  • Rating : /5 from reviews
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Download or Read online Nonlinear Ocean Waves and the Inverse Scattering Transform full in PDF, ePub and kindle. this book written by Alfred R. Osborne and published by Unknown which was released on 17 August 2022 with total page 917 pages. We cannot guarantee that Nonlinear Ocean Waves and the Inverse Scattering Transform book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. presents techniques and methods of the inverse scattering transform for data analysis geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis suitable for classroom teaching as well as research

Nonlinear Ocean Waves and the Inverse Scattering Transform

Nonlinear Ocean Waves and the Inverse Scattering Transform
  • Author : Alfred R. Osborne
  • Publisher : Unknown
  • Release : 17 August 2022
GET THIS BOOK Nonlinear Ocean Waves and the Inverse Scattering Transform

For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing

Nonlinear Ocean Waves and the Inverse Scattering Transform

Nonlinear Ocean Waves and the Inverse Scattering Transform
  • Author : Alfred Osborne
  • Publisher : Academic Press
  • Release : 07 April 2010
GET THIS BOOK Nonlinear Ocean Waves and the Inverse Scattering Transform

For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing

Scattering Two Volume Set

Scattering  Two Volume Set
  • Author : E. R. Pike,Pierre C. Sabatier
  • Publisher : Academic Press
  • Release : 17 August 2022
GET THIS BOOK Scattering Two Volume Set

Part 1: SCATTERING OF WAVES BY MACROSCOPIC TARGET -- Interdisciplinary aspects of wave scattering -- Acoustic scattering -- Acoustic scattering: approximate methods -- Electromagnetic wave scattering: theory -- Electromagnetic wave scattering: approximate and numerical methods -- Electromagnetic wave scattering: applications -- Elastodynamic wave scattering: theory -- Elastodynamic wave scattering: Applications -- Scattering in Oceans -- Part 2: SCATTERING IN MICROSCOPIC PHYSICS AND CHEMICAL PHYSICS -- Introduction to direct potential scattering -- Introduction to Inverse Potential Scattering -- Visible and Near-visible Light Scattering

Rogue and Shock Waves in Nonlinear Dispersive Media

Rogue and Shock Waves in Nonlinear Dispersive Media
  • Author : Miguel Onorato,Stefania Resitori,Fabio Baronio
  • Publisher : Springer
  • Release : 19 September 2016
GET THIS BOOK Rogue and Shock Waves in Nonlinear Dispersive Media

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

Nonlinear Ocean Dynamics

Nonlinear Ocean Dynamics
  • Author : Maged Marghany
  • Publisher : Elsevier
  • Release : 09 February 2021
GET THIS BOOK Nonlinear Ocean Dynamics

Nonlinear Ocean Dynamics: Synthetic Aperture Radar delivers the critical tools needed to understand the latest technology surrounding the radar imaging of nonlinear waves, particularly microwave radar, as a main source to understand, analyze and apply concepts in the field of ocean dynamic surface. Filling the gap between modern physics quantum theory and applications of radar imaging of ocean dynamic surface, this reference is packed with technical details associated with the potentiality of synthetic aperture radar (SAR). The book also includes

Princeton Companion to Applied Mathematics

Princeton Companion to Applied Mathematics
  • Author : Nicholas J. Higham
  • Publisher : Princeton University Press
  • Release : 09 September 2015
GET THIS BOOK Princeton Companion to Applied Mathematics

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other

Ocean Wave Dynamics

Ocean Wave Dynamics
  • Author : Ian Young,Alexander Babanin
  • Publisher : World Scientific
  • Release : 20 March 2020
GET THIS BOOK Ocean Wave Dynamics

Ocean Wave Dynamics is the most up-to-date book of its kind on the three main processes responsible for the generation and evolution of ocean waves: (i) atmospheric input from the wind, (ii) wave breaking and (iii) nonlinear interactions.Ocean waves are important for many reasons. They are the major environmental impact on in the design of coastal or offshore structures. Ocean waves are also fundamental to the processes of coastal flooding and beach erosion. They will play a major role

Dynamics of the Equatorial Ocean

Dynamics of the Equatorial Ocean
  • Author : John P. Boyd
  • Publisher : Springer
  • Release : 25 September 2017
GET THIS BOOK Dynamics of the Equatorial Ocean

This book is the first comprehensive introduction to the theory of equatorially-confined waves and currents in the ocean. Among the topics treated are inertial and shear instabilities, wave generation by coastal reflection, semiannual and annual cycles in the tropic sea, transient equatorial waves, vertically-propagating beams, equatorial Ekman layers, the Yoshida jet model, generation of coastal Kelvin waves from equatorial waves by reflection, Rossby solitary waves, and Kelvin frontogenesis. A series of appendices on midlatitude theories for waves, jets and wave

Numerical Modeling of Sea Waves

Numerical Modeling of Sea Waves
  • Author : Dmitry V. Chalikov
  • Publisher : Springer
  • Release : 25 June 2016
GET THIS BOOK Numerical Modeling of Sea Waves

Presenting a novel approach to wave theory, this book applies mathematical modeling to the investigation of sea waves. It presents problems, solutions and methods, and explores issues such as statistical properties of sea waves, generation of turbulence, Benjamin-Feir instability and the development of wave fields under the action of wind. Special attention is paid to the processes of dynamic wind-wave interaction, the formation of freak waves, as well as the role that sea waves play in the dynamic ocean/atmosphere

Transformation Wave Physics

Transformation Wave Physics
  • Author : Mohamed Farhat,Pai-Yen Chen,Sebastien Guenneau,Stefan Enoch
  • Publisher : CRC Press
  • Release : 18 November 2016
GET THIS BOOK Transformation Wave Physics

Space–time transformations as a design tool for a new class of composite materials (metamaterials) have proved successful recently. The concept is based on the fact that metamaterials can mimic a transformed but empty space. Light rays follow trajectories according to Fermat’s principle in this transformed electromagnetic, acoustic, or elastic space instead of laboratory space. This allows one to manipulate wave behaviors with various exotic characteristics such as (but not limited to) invisibility cloaks. This book is a collection

Symmetry Phase Modulation and Nonlinear Waves

Symmetry  Phase Modulation and Nonlinear Waves
  • Author : Thomas J. Bridges
  • Publisher : Cambridge University Press
  • Release : 03 July 2017
GET THIS BOOK Symmetry Phase Modulation and Nonlinear Waves

Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase

Optical Remote Sensing of Ocean Hydrodynamics

Optical Remote Sensing of Ocean Hydrodynamics
  • Author : Victor Raizer
  • Publisher : CRC Press
  • Release : 04 March 2019
GET THIS BOOK Optical Remote Sensing of Ocean Hydrodynamics

Optical Remote Sensing is one of the main technologies used in sea surface monitoring. Optical Remote Sensing of Ocean Hydrodynamics investigates and demonstrates capabilities of optical remote sensing technology for enhanced observations and detection of ocean environments. It provides extensive knowledge of physical principles and capabilities of optical observations of the oceans at high spatial resolution, 1-4m, and on the observations of surface wave hydrodynamic processes. It also describes the implementation of spectral-statistical and fusion algorithms for analyses of