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Chapter 3
Modulational Instability of
Two-Temperature Dusty Plasmas
with Nonthermal Ions.
3.1 Introduction
One of the most important wave observations in laboratory and astro-
physical space is the propagation of localized wave packets in form of
envelope waves confining modulation carrier waves. This modulated wave
packets must experience a modulation instability (MI) and leads to en-
velope solitons formation. This idea was established by NLS equation
information. In another word, the group dispersion balances the nonlin-
earity of the amplitude instability [36, 140].
Observations and wave predictionsofnonlinearenvelopehugewaves
appear in many scientific fields, e.g. nonlinear optics, capillary tube waves
and plasmas waves [83, 123]. A lot of articles have been devoted to
examine the envelope of acoustic solitonic waves in plasmas with non-
Maxwellian electrons [141-143]. Nevertheless, nonlinear wave propaga-
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