Nonlinear Fourier Analysis of Shallow Water Waves

Abstract

The long-term goal of this research is the development of new numerical tools for obtaining the fast nonlinear Fourier transform of shallow-water ocean surface waves. These methods are based upon the inverse scattering transform (IST) a modern method of mathematical physics for integrating particular water wave equations. The IST allows for the description of both nonlinear unidirectional and multidirectional wave trains. The present work focuses on the development of numerical tools, on the development of data analysis procedures and on the extension of IST to higher order. Clearly the future lies in the better understanding of the nonlinear dynamics of ocean surface waves and our work addresses the practical issues of making this goal a reality.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1998
Accession Number
ADA574922

Entities

People

  • A. R. Osborne

Organizations

  • University of Turin

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Data Analysis
  • Doppler Effect
  • Equations
  • Fourier Analysis
  • Inverse Scattering
  • Mathematics
  • Numerical Analysis
  • Shallow Water
  • Sine Waves
  • Solitons
  • Surface Waves
  • Water
  • Water Waves
  • Wave Equations
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Naval Personnel Management
  • Systems Analysis and Design