Nonlinear Ocean Waves and the Inverse Scattering Transform

Written By Alfred R. Osborne
Nonlinear Ocean Waves and the Inverse Scattering Transform
  • Publsiher : Unknown
  • Release : 23 June 2021
  • ISBN : 9780125286299
  • Pages : 917 pages
  • Rating : 4/5 from 21 reviews
GET THIS BOOKNonlinear Ocean Waves and the Inverse Scattering Transform


Read or download book entitled Nonlinear Ocean Waves and the Inverse Scattering Transform written by Alfred R. Osborne which was release on 23 June 2021, 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 -- ...

The Numerical Inverse Scattering Transform Nonlinear Fourier Analysis and Nonlinear Filtering of Oceanic Surface Waves

The Numerical Inverse Scattering Transform  Nonlinear Fourier Analysis and Nonlinear Filtering of Oceanic Surface Waves
  • Author : A. R. Osborne,HAWAII UNIV HONOLULU DEPT OF OCEANOGRAPHY.
  • Publisher : Unknown
  • Release Date : 1993
  • Total pages : 23
  • ISBN : 9780125286299
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Summary : Nonlinear Fourier analysis is discussed as it arises from the exact spectral solution to large classes of nonlinear wave equations which are integrable by the inverse scattering transform (IST). The approach may be viewed as a generalization of the ordinary, linear Fourier transform or Fourier series. Numerical methods are discussed ...

Solutions and the Inverse Scattering Transform

Solutions and the Inverse Scattering Transform
  • Author : Harvey Segur
  • Publisher : Unknown
  • Release Date : 1980
  • Total pages : 71
  • ISBN : 9780125286299
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Summary : Under appropriate conditions, ocean waves may be modeled by certain nonlinear evolution equations that admit soliton solutions and can be solved exactly by the inverse scattering transform (IST). The theory of these special equations is developed in five lectures. As physical models, these equations typically govern the evolution of narrow-band ...

Wind and Waves in the Northern Adriatic Sea

Wind and Waves in the Northern Adriatic Sea
  • Author : L. Cavaleri
  • Publisher : Unknown
  • Release Date : 1996
  • Total pages : 195
  • ISBN : 9780125286299
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Summary : Download or read online Wind and Waves in the Northern Adriatic Sea written by L. Cavaleri, published by which was released on 1996. Get Wind and Waves in the Northern Adriatic Sea Books now! Available in PDF, ePub and Kindle....

Il Nuovo Cimento

Il Nuovo Cimento
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1996
  • Total pages : 212
  • ISBN : 9780125286299
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Summary : Download or read online Il Nuovo Cimento written by , published by which was released on 1996. Get Il Nuovo Cimento Books now! Available in PDF, ePub and Kindle....

Il Nuovo Cimento Della Societ Italiana Di Fisica

Il Nuovo Cimento Della Societ   Italiana Di Fisica
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1987
  • Total pages : 212
  • ISBN : 9780125286299
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Summary : Download or read online Il Nuovo Cimento Della Societ Italiana Di Fisica written by , published by which was released on 1987. Get Il Nuovo Cimento Della Societ Italiana Di Fisica Books now! Available in PDF, ePub and Kindle....

Nonlinear Processes in Geophysics

Nonlinear Processes in Geophysics
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2007
  • Total pages : 212
  • ISBN : 9780125286299
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Summary : Download or read online Nonlinear Processes in Geophysics written by , published by which was released on 2007. Get Nonlinear Processes in Geophysics Books now! Available in PDF, ePub and Kindle....

Differential Topology geometry and Related Fields and Their Applications to the Physical Sciences and Engineering

Differential Topology  geometry and Related Fields  and Their Applications to the Physical Sciences and Engineering
  • Author : George M. Rassias
  • Publisher : Unknown
  • Release Date : 1985
  • Total pages : 376
  • ISBN : 9780125286299
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Summary : Download or read online Differential Topology geometry and Related Fields and Their Applications to the Physical Sciences and Engineering written by George M. Rassias, published by which was released on 1985. Get Differential Topology geometry and Related Fields and Their Applications to the Physical Sciences and Engineering Books now! Available in ...

Rapid Environmental Assessment

Rapid Environmental Assessment
  • Author : Eric Pouliquen,A. D. Kirwan,Kirwan, Jr. (A. D.),R. T. Pearson
  • Publisher : Nato Saclant Centre
  • Release Date : 1997
  • Total pages : 290
  • ISBN : 9780125286299
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Summary : Download or read online Rapid Environmental Assessment written by Eric Pouliquen,A. D. Kirwan,Kirwan, Jr. (A. D.),R. T. Pearson, published by Nato Saclant Centre which was released on 1997. Get Rapid Environmental Assessment Books now! Available in PDF, ePub and Kindle....

Statistical Methods in Physical Oceanography

Statistical Methods in Physical Oceanography
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1993
  • Total pages : 525
  • ISBN : 9780125286299
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Summary : Download or read online Statistical Methods in Physical Oceanography written by , published by which was released on 1993. Get Statistical Methods in Physical Oceanography Books now! Available in PDF, ePub and Kindle....

Mathematical Reviews

Mathematical Reviews
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2003
  • Total pages : 212
  • ISBN : 9780125286299
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Summary : Download or read online Mathematical Reviews written by , published by which was released on 2003. Get Mathematical Reviews Books now! Available in PDF, ePub and Kindle....

Waves Called Solitons

Waves Called Solitons
  • Author : M. Remoissenet
  • Publisher : Springer Science & Business Media
  • Release Date : 1996
  • Total pages : 260
  • ISBN : 9780125286299
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Summary : This book is an elementary introduction to the fascinating world of waves called solitons. These large-amplitude waves, which can propagate over long distances without dispersing and which display particle-like properties, are one of the most striking manifestations of nonlinearity. The main concepts are introduced at an elementary level accessible to ...

General physics relativity astronomy and plasmas

General physics  relativity  astronomy and plasmas
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1987
  • Total pages : 212
  • ISBN : 9780125286299
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Summary : Download or read online General physics relativity astronomy and plasmas written by , published by which was released on 1987. Get General physics relativity astronomy and plasmas Books now! Available in PDF, ePub and Kindle....