Long Internal Waves of Moderate Amplitudes. I. Solitons.

Abstract

The Korteweg-deVries (KdV) equation and the finite-depth equation of Joseph (1977) and Kubota, Ko and Dobbs (1978) both describe the evolution of long internal waves of small but finite amplitude, propagating in one direction. In this paper, both theories are tested experimentally by comparing measured and theoretical soliton shapes. The KdV equation predicts the shapes of our measured solitons with remarkable accuracy, much better than does the finite-depth equation. When carried to second-order, the finite-depth theory becomes about as accurate as (first-order) KdV theory for our experiments. However, second-order corrections to the finite-depth theory also identify a bound on the range of validity of that entire expansion. This range turns out to be rather small; it includes only about half of the experiments reported by Koop and Butler (1981). (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1981
Accession Number
ADA099729

Entities

People

  • Harvey Segur
  • J. L. Hammack

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Amplitude
  • Asymptotic Series
  • Civil Engineering
  • Computational Science
  • Equations
  • Experimental Data
  • Fluid Dynamics
  • Fluids
  • Integrals
  • Internal Waves
  • Layers
  • Measurement
  • Solitons
  • Surface Waves
  • Wave Equations
  • Waves

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.