Weakly nonlinear geometrical optics in plasmas

I. Dajani, E. C. Morse, Richard W Ziolkowski

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Abstract

A geometrical optics method for solving wave propagation in dispersive weakly nonlinear, weakly inhomogeneous media is applied to plasmas. In the case that the dispersion is comparable to the nonlinearity, the method yields the expected soliton solutions. For strong dispersion, it is found that the amplitude has the same form as in the linear case except that it is multiplied by a slow varying sinusoidal part.

Original languageEnglish (US)
Pages (from-to)237-250
Number of pages14
JournalPhysica D: Nonlinear Phenomena
Volume64
Issue number1-3
DOIs
Publication statusPublished - Apr 15 1993

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ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

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