Nonlinear Ocean Waves and the Inverse Scattering Transform

Produk Detail:
  • Author : Alfred R. Osborne
  • Publisher : Unknown
  • Pages : 917 pages
  • ISBN : 9780125286299
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Nonlinear Ocean Waves and the Inverse Scattering Transform

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 16 June 2021 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 : 16 June 2021
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 : 16 June 2021
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

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 : 16 June 1993
GET THIS BOOK The Numerical Inverse Scattering Transform Nonlinear Fourier Analysis and Nonlinear Filtering of Oceanic Surface Waves

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 which allow for implementation of the approach as a tool for the time series analysis of oceanic wave data. I specifically consider the case for shallow water, where integrable nonlinear

Solutions and the Inverse Scattering Transform

Solutions and the Inverse Scattering Transform
  • Author : Harvey Segur
  • Publisher : Unknown
  • Release : 16 June 1980
GET THIS BOOK Solutions and the Inverse Scattering Transform

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 packets of small amplitude waves on a long (post-linear) time scale. This is demonstrated in Lecture I, using the Korteweg-deVries equation as an example. Lectures II and III develop the

Waves Called Solitons

Waves Called Solitons
  • Author : M. Remoissenet
  • Publisher : Springer Science & Business Media
  • Release : 16 June 1996
GET THIS BOOK Waves Called Solitons

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 the undergraduate. In a self-contained and interdisciplinary whole, such topics as electrical, hydrodynamic, chemical, and optical solitons, are discussed. Many of the author's choices of emphasis have been made with