Recent Accomplishments: Period of 11/01/94 - 10/31/95.

Abstract

Many nonlinear systems evolve into nonlinear solitary waves and dispersing radiation. We describe publications which detail how such solitary waves can interact with radiation and also how such interactions are affected by various perturbations such as damping, filtering, amplifying and Raman pumping. Besides perturbation techniques, we also find that we can describe these interactions via the Rayleigh-Ritz variational method, which has been used to study dissipation. A danger in this method is that it could generate potentially false instabilities. However, we have also detailed how and when this could occur.

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Document Details

Document Type
Technical Report
Publication Date
Dec 11, 1995
Accession Number
ADA311125

Entities

People

  • David J. Kaup

Organizations

  • Clarkson University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Continuous Spectra
  • Eigenvalues
  • Equations
  • Frequency
  • Instability
  • Optical Fibers
  • Perturbation Theory
  • Perturbations
  • Radiation
  • Raman Scattering
  • Scattering
  • Solitons
  • Variational Methods
  • Variational Principles
  • Waves

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Optical Physics and Photonics.