DISPERSIVE LONG WAVES OF FINITE AMPLITUDE OVER AN UNEVEN BOTTOM.

Abstract

Approximate equations for long waves are derived under assumptions similar to those of Boussinesg and Korteweg and deVries. Numerical studies are performed using the method of characteristics. Four cases are investigated (1) solitary wave on a beach, (2) solitary wave on a shelf, (3) periodic waves generated in a wave tank of constant depth, (4) periodic wave on a shelf. It is discovered that complicated disintegration and evolution appear due to combined effects of nonlinearity and dispersion. Experimental evidence is presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0700301

Entities

People

  • Chiang C. Mei
  • Ole Secher Madsen

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Disintegration
  • Dispersions
  • Equations
  • Mathematics
  • Method Of Characteristics
  • Personal Information Managers
  • Solitons
  • Waves

Fields of Study

  • Mathematics

Readers

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