Modulational Stability of Two-Phase Sine-Gordon Wavetrains.

Abstract

The modulational stability of real, two-phase sine-Gordon wavetrains are studied. There are three classes of such waves; we find the kink-kink trains are stable, while the breather trains and kink-radiation trains are unstable to modulations. These results continue the investigations of Flaschka, Forest, and McLaughlin for the kdV equation and of Forest and McLaughlin for the sing-Gordon and sine-Gordon equations. In a previous paper the sine-Gordon two-phase modulation theory could only be carried to an intermediate stage. Here we use recent results of Ercolani and Forest to complete this project.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA125236

Entities

People

  • David W. Mclaughlin
  • M. Gregory Forest
  • Nicholas Ercolani

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Classification
  • Differential Equations
  • Equations
  • Information Science
  • Integrals
  • Mathematics
  • Modulation
  • New York
  • Partial Differential Equations
  • Phase
  • Phase Modulation
  • Radiation
  • Universities

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Fluid Dynamics (CFD)
  • Forest Ecology