scholarly journals Nonlinear ion-acoustic structures in a nonextensive electron–positron–ion–dust plasma: Modulational instability and rogue waves

2012 ◽  
Vol 332 ◽  
pp. 38-55 ◽  
Author(s):  
Shimin Guo ◽  
Liquan Mei ◽  
Anbang Sun
Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 31
Author(s):  
Md. Habibur Rahman ◽  
Nure Alam Chowdhury ◽  
Abdul Mannan ◽  
A. A. Mamun

In this work, the modulational instability of dust-acoustic (DA) waves (DAWs) is theoretically studied in a four-component plasma medium with electrons, positrons, ions, and negative dust grains. The nonlinear and dispersive coefficients of the nonlinear Schrödinger equation (NLSE) are used to recognize the stable and unstable parametric regimes of the DAWs. It can be seen from the numerical analysis that the amplitude of the DA rogue waves decreases with increasing populations of positrons and ions. It is also observed that the direction of the variation of the critical wave number is independent (dependent) of the sign (magnitude) of q. The applications of the outcomes from the present investigation are briefly addressed.


Author(s):  
Delmas V. Douanla ◽  
  Alim ◽  
Camus G. L. Tiofack ◽  
Alidou Mohamadou

2013 ◽  
Vol 79 (6) ◽  
pp. 1089-1094 ◽  
Author(s):  
IOANNIS KOURAKIS ◽  
MICHAEL MC KERR ◽  
ATA UR-RAHMAN

AbstractA fluid model is used to describe the propagation of envelope structures in an ion plasma under the influence of the action of weakly relativistic electrons and positrons. A multiscale perturbative method is used to derive a nonlinear Schrödinger equation for the envelope amplitude. Criteria for modulational instability, which occurs for small values of the carrier wavenumber (long carrier wavelengths), are derived. The occurrence of rogue waves is briefly discussed.


2015 ◽  
Vol 22 (2) ◽  
pp. 022305 ◽  
Author(s):  
Ata-ur- Rahman ◽  
Michael Mc Kerr ◽  
Wael F. El-Taibany ◽  
Ioannis Kourakis ◽  
A. Qamar

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