Reduction of 3 X 3 Polynomial Bundles and New Types of Integrable 3-Wave Interactions

Abstract

The following preprints are being prepared: Reduction of 3x3 Polynomial Bundles and New Types of Integrable 3-Wave Interactions; Nonlinear Propagation of an Electromagnetic Pulse in a Two-Component Plasma; by D. J. Kaup and Ronald E. Kates (in final preparation). This manuscript describes how to correctly calculate the nonlinear coefficients in the case of an electromagnetic pulse propagating in a two-component plasma. We also demonstrate that other values given in the literature are incorrect. We correct the predictions for such electromagnetic propagation and discuss the astrophysical consequences. The Nonlinear Propagation of a Relativistic Electromagnetic Pulse in Plasma; this problem has become much more complex than first envisioned. In particular, the longitudinal electric field is found to be much larger than first estimated. In this limit, it seems that any charge separation leads to an intense longitudinal electrical field. The consequences of this is being explored numerically, in order to determine how to correctly formulate the expansion.

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Document Details

Document Type
Technical Report
Publication Date
Nov 21, 1988
Accession Number
ADA203336

Entities

People

  • D. J. Kaup
  • V. S. Gerdjikov

Organizations

  • Clarkson University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Differential Equations
  • Electric Fields
  • Electromagnetic Pulses
  • Equations
  • General Relativity
  • Inverse Scattering
  • Mathematics
  • Military Research
  • New York
  • Nuclear Energy
  • Phase Transformations
  • Polynomials
  • Scattering
  • Wave Equations
  • Wave Packets

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Plasma Physics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space