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Modulation of Electron-Acoustic Waves in a Plasma with Vortex Electron Distribution

  • Hilmi Demiray EMAIL logo
Published/Copyright: March 17, 2015

Abstract

In the present work, employing a one-dimensional model of a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution and stationary ions, we study the amplitude modulation of electron-acoustic waves by use of the conventional reductive perturbation method. Employing the field equations with fractional power type of nonlinearity, we obtained the nonlinear Schrödinger equation as the evolution equation of the same order of nonlinearity. Seeking a harmonic wave solution with progressive wave amplitude to the evolution equation it is found that the NLS equation with fractional power assumes envelope type of solitary waves.

®(2010).: 35Q51

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Received: 2014-1-29
Accepted: 2015-2-17
Published Online: 2015-3-17
Published in Print: 2015-4-1

©2015 by De Gruyter

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