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  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Modulational instability of three dimensional waves in a plasma with vortex electron distribution

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Date

2019-02-10

Author

Demiray, Hilmi

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Citation

Demiray, H. (2019). modulational instability of three dimensional waves in a plasma with vortex electron distribution. TWMS Journal of Applied and Engineering Mathematics, 9(3), 433-424.

Abstract

In the present work, employing the three dimensional equations 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 an electron-acoustic waves by use of the conventional reductive perturbation method. Employing the field equations with fractional power type of nonlinearity, we obtained the three dimensional form of the modified nonlinear Schrodinger equation as the evolution equation of the same order of nonlinearity. The modulational instability of the homogeneous harmonic solution is investigated and the criteria for the instability is discussed as a function of the obliqueness angle. The numerical calculations show that the critical value of the wave number of the envelop wave increases with the wave number k of the carrier wave and the obliqueness angle gamma.

Source

TWMS Journal Of Applied And Engineering Mathematics

Volume

9

Issue

3

URI

https://hdl.handle.net/11729/1696
http://jaem.isikun.edu.tr/web/index.php/archive/102-vol9no3/425
https://app.trdizin.gov.tr/makale/TkRVMU16QTFOUT09

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Jaem 2019, Vol 9, No 3 [30]
  • TR-Dizin İndeksli Makale Koleksiyonu [200]
  • WoS İndeksli Makale Koleksiyonu [929]



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