On the Stability of Solitary Waves in Shallow Water.

Abstract

The Korteweg-de Vries soliton is shown to be stable whereas the Boussinesq soliton is shown to be unstable to infinitesimal perturbations. A method is demonstrated for finding eigensolutions of the perturbation equation in both cases.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1975
Accession Number
ADA020216

Entities

People

  • James G. Berryman

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Equations
  • Mathematics
  • Perturbations
  • Shallow Water
  • Solitons
  • Water
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Structural Dynamics.