Nonlinear Ocean Waves and the Inverse Scattering Transform

Written By Alfred R. Osborne
Nonlinear Ocean Waves and the Inverse Scattering Transform
  • Publsiher : Unknown
  • Release : 25 September 2022
  • ISBN : 9780125286299
  • Pages : 917 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Nonlinear Ocean Waves and the Inverse Scattering Transform written by Alfred R. Osborne which was release on 25 September 2022, this book published by Unknown. Available in PDF, EPUB and Kindle Format. Book excerpt: 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 Date : 2010
  • Total pages : 917
  • ISBN : 9780125286299
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Summary : 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 ...

Nonlinear Ocean Waves and the Inverse Scattering Transform

Nonlinear Ocean Waves and the Inverse Scattering Transform
  • Author : Alfred Osborne
  • Publisher : Academic Press
  • Release Date : 2010-04-07
  • Total pages : 944
  • ISBN : 9780125286299
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Summary : 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 ...

Scattering Two Volume Set

Scattering  Two Volume Set
  • Author : E. R. Pike,Pierre C. Sabatier
  • Publisher : Academic Press
  • Release Date : 2002
  • Total pages : 1831
  • ISBN : 9780125286299
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Summary : 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 -- ...

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 Date : 2016-09-19
  • Total pages : 370
  • ISBN : 9780125286299
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Summary : 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 ...

Guided Wave Optics

Guided Wave Optics
  • Author : Boris Malomed
  • Publisher : MDPI
  • Release Date : 2018-03-23
  • Total pages : 322
  • ISBN : 9780125286299
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Summary : This book is a printed edition of the Special Issue "Guided-Wave Optics" that was published in Applied Sciences...

Nonlinear Ocean Dynamics

Nonlinear Ocean Dynamics
  • Author : Maged Marghany
  • Publisher : Elsevier
  • Release Date : 2021-02-09
  • Total pages : 462
  • ISBN : 9780125286299
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Summary : 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 ...

Princeton Companion to Applied Mathematics

Princeton Companion to Applied Mathematics
  • Author : Nicholas J. Higham
  • Publisher : Princeton University Press
  • Release Date : 2015-09-09
  • Total pages : 1032
  • ISBN : 9780125286299
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Summary : 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; ...

Ocean Wave Dynamics

Ocean Wave Dynamics
  • Author : Ian Young,Alexander Babanin
  • Publisher : World Scientific
  • Release Date : 2020-03-20
  • Total pages : 396
  • ISBN : 9780125286299
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Summary : 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 ...

Dynamics of the Equatorial Ocean

Dynamics of the Equatorial Ocean
  • Author : John P. Boyd
  • Publisher : Springer
  • Release Date : 2017-09-25
  • Total pages : 517
  • ISBN : 9780125286299
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Summary : 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 ...

Numerical Modeling of Sea Waves

Numerical Modeling of Sea Waves
  • Author : Dmitry V. Chalikov
  • Publisher : Springer
  • Release Date : 2016-06-25
  • Total pages : 330
  • ISBN : 9780125286299
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Summary : 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. ...

Recent Development in Theories Numerics

Recent Development in Theories   Numerics
  • Author : Yiu-Chung Hon,Masahiro Yamamoto
  • Publisher : World Scientific
  • Release Date : 2003
  • Total pages : 454
  • ISBN : 9780125286299
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Summary : Annotation. Proceedings from the First International Conference on Inverse Problems, Recent Theoretical Development and Numerical Approaches, held at the City University of Hong Kong from January 9-12, 2002....

Transformation Wave Physics

Transformation Wave Physics
  • Author : Mohamed Farhat,Pai-Yen Chen,Sebastien Guenneau,Stefan Enoch
  • Publisher : CRC Press
  • Release Date : 2016-11-18
  • Total pages : 474
  • ISBN : 9780125286299
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Summary : 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 ...

Peregrine Soliton and Breathers in Wave Physics Achievements and Perspectives

Peregrine Soliton and Breathers in Wave Physics  Achievements and Perspectives
  • Author : Bertrand Kibler,Amin Chabchoub,Heremba Bailung
  • Publisher : Frontiers Media SA
  • Release Date : 2022-08-16
  • Total pages : 261
  • ISBN : 9780125286299
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Summary : Download or read online Peregrine Soliton and Breathers in Wave Physics Achievements and Perspectives written by Bertrand Kibler,Amin Chabchoub,Heremba Bailung, published by Frontiers Media SA which was released on 2022-08-16. Get Peregrine Soliton and Breathers in Wave Physics Achievements and Perspectives Books now! Available in PDF, ePub ...

Optical Remote Sensing of Ocean Hydrodynamics

Optical Remote Sensing of Ocean Hydrodynamics
  • Author : Victor Raizer
  • Publisher : CRC Press
  • Release Date : 2019-03-04
  • Total pages : 280
  • ISBN : 9780125286299
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Summary : 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 ...

Chaos Information Processing and Paradoxical Games

Chaos  Information Processing and Paradoxical Games
  • Author : Gregoire Nicolis,Vasileios Basios
  • Publisher : World Scientific
  • Release Date : 2014-12-30
  • Total pages : 476
  • ISBN : 9780125286299
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Summary : This volume provides a self-contained survey of the mechanisms presiding information processing and communication. The main thesis is that chaos and complexity are the basic ingredients allowing systems composed of interesting subunits to generate and process information and communicate in a meaningful way. Emphasis is placed on communication in the ...