AN EXACT INTEGRAL EQUATION FOR STEADY SURFACE WAVES.

Abstract

An exact integral equation is found for inviscid steady surface waves. Existing known approximations are all derived from the one equation. A numerical solution is attempted in the case of the solitary wave. From the numerical solution the amplitude of the solitary wave of maximum height is estimated. The numerical solution is also compared with the existing approximations and the implications drawn from the comparison are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1969
Accession Number
AD0683707

Entities

People

  • John Byatt-smith

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Equations
  • Integral Equations
  • Integrals
  • Solitons
  • Surface Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis