Bifurcation analysis for ion acoustic waves in a strongly coupled plasma including trapped electrons

2018 ◽  
Vol 382 (6) ◽  
pp. 412-419 ◽  
Author(s):  
S.K. El-Labany ◽  
W.F. El-Taibany ◽  
A. Atteya
Keyword(s):  
Bifurcation Analysis ◽  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Trapped Electrons ◽  
Strongly Coupled ◽  
Ion Acoustic ◽  
Strongly Coupled Plasma

Ion acoustic waves in expanding strongly coupled plasmas

2013 ◽  
Vol 79 (6) ◽  
pp. 1063-1066 ◽  
Author(s):  
J. T. MENDONÇA ◽  
N. SHUKLA ◽  
D. P. RESENDES ◽  
A. SERBETO
Keyword(s):  
Acoustic Waves ◽  
Temporal Change ◽  
Wave Mode ◽  
Mode Structure ◽  
Plasma Parameters ◽  
Ion Acoustic Waves ◽  
Strongly Coupled ◽  
Ultracold Plasmas ◽  
Ion Acoustic ◽  
Coupled Plasmas

AbstractWe consider the excitation and dispersion of ion acoustic waves in expanding ultracold plasmas, taking into account the influence of boundary conditions. A cylindrical plasma geometry is assumed. We show that temporal changes in the medium lead to a wave frequency shift, associated with an evolving radial and standing wave mode structure, and to the temporal change of the background plasma parameters. A non-collisional model for the cylindrical geometry is also proposed.

Bifurcation Analysis for Small-Amplitude Nonlinear and Supernonlinear Ion-Acoustic Waves in a Superthermal Plasma

2020 ◽  
Vol 75 (3) ◽  
pp. 183-191 ◽  
Author(s):  
Durga Prasad Chapagai ◽  
Jharna Tamang ◽  
Asit Saha
Keyword(s):  
Dynamical Systems ◽  
Bifurcation Analysis ◽  
Acoustic Waves ◽  
Small Amplitude ◽  
Perturbation Technique ◽  
Travelling Wave ◽  
Mkdv Equation ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Superthermal Plasma

AbstractBifurcation analysis of small-amplitude nonlinear and supernonlinear periodic ion-acoustic waves (SNPIAWs) is reported in a three-constituent superthermal plasma composing of cold fluid ions and kappa-distributed electrons of two temperatures (cold and hot). Using the reductive perturbation technique, the plasma system is studied under the Korteweg-de Vries (KdV) and the modified KdV (mKdV) equations. Furthermore, the KdV and mKdV equations are transformed into planar dynamical systems applying travelling wave transfiguration. Possible qualitative phase profiles for the corresponding dynamical systems controlled by system parameters ($\kappa,{\alpha_{c}},{\alpha_{h}}$ and f) are shown. Small-amplitude SNPIAW solution for the mKdV equation is presented for the first time. Small-amplitude nonlinear periodic ion-acoustic wave (NPIAW) and ion-acoustic solitary wave solutions (IASWS) for both the KdV and mKdV equations are obtained. Effects of parameters κ and αh on IASW, NPIAW and SNPIAW solutions are investigated.

Properties of solitary ion acoustic waves in a quantized degenerate magnetoplasma with trapped electrons

2015 ◽  
Vol 22 (2) ◽  
pp. 022303 ◽  
Author(s):  
N. L. Tsintsadze ◽  
H. A. Shah ◽  
M. N. S. Qureshi ◽  
M. N. Tagviashvili
Keyword(s):  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Trapped Electrons ◽  
Ion Acoustic
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