Weakly nonlinear geometrical optics in plasmas

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

Research output: Contribution to journalArticle

2 Scopus citations


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
Issue number1-3
Publication statusPublished - Apr 15 1993


ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

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