Phase-Invariant Solutions of Nonlinear Wave-Wave Interacting Systems,

Abstract

The existence of phase-invariant solutions for a class of nonlinear wave-wave interacting systems is studied. These solutions have the property that the phase of each wave is invariant with time or unaffected by the nonlinear interactions. Explicit results are obtained for certain two-wave and three-wave systems. It is shown that for these systems, the wave-energy transfer along the phase-invariant solutions is always unidirectional. The application of these results to the nonlinear interaction between two transverse waves and a longitudinal wave in a magnetized collisionless plasma is discussed.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1975
Accession Number
ADA015838

Entities

People

  • Paul Keng Chieh Wang

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Electrical Solitons
  • Energy
  • Energy Transfer
  • Orientation (Direction)
  • Transverse
  • Transverse Waves
  • Unidirectional
  • Wave Power
  • Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Plasma Physics / Magnetohydrodynamics