Weakly nonlinear geometrical optics in plasmas

I. Dajani; E. C. Morse; R. W. Ziolkowski

doi:10.1016/0167-2789(93)90257-2

Weakly nonlinear geometrical optics in plasmas

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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English (US)
Pages (from-to)	237-250
Number of pages	14
Journal	Physica D: Nonlinear Phenomena
Volume	64
Issue number	1-3
DOIs	https://doi.org/10.1016/0167-2789(93)90257-2
State	Published - Apr 15 1993
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(93)90257-2

Cite this

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title = "Weakly nonlinear geometrical optics in plasmas",

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.",

author = "I. Dajani and Morse, {E. C.} and Ziolkowski, {R. W.}",

note = "Funding Information: This work was supported by Lawrence Livermore Laboratory under contract W-7045-ENG-48.",

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AU - Dajani, I.

AU - Morse, E. C.

AU - Ziolkowski, R. W.

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PY - 1993/4/15

Y1 - 1993/4/15

N2 - 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.

AB - 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.

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Weakly nonlinear geometrical optics in plasmas

Abstract

ASJC Scopus subject areas

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