Modulation of ion acoustic waves

Details Modulation of ion acoustic waves Modulation of ion acoustic waves

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.182..241e&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 182, no. 2, Aug. 1991, p. 241-247.

Astronomy and Astrophysics

Astrophysics

3

Ion Acoustic Waves, Perturbation Theory, Plasma Oscillations, Plasma Waves, Schroedinger Equation, Traveling Waves, Wave Propagation

Scientific paper

The multiple scales perturbation theory is applied to a system of dispersive waves including plasma waves (ion-acoustic waves). Assuming the amplitudes of waves are a slowly-varying function of space and time, it is found that long-time slow modulation of the complex amplitude can be described by the nonlinear Schroedinger equation. This result agrees with that obtained by Shimizu and Ichikawa (1972) using the reductive perturbation theory, and agrees exactly with the nonrelativistic limit of the nonlinear Schroedinger equation obtained by Nejoh using the stretching method.

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