Nonlinear structures of the Korteweg-de Vries and modified Korteweg-de Vries equations in non-Maxwellian electron-positron-ion plasma: Solitons collision and rogue waves

2014 ◽  
Vol 21 (5) ◽  
pp. 052112 ◽  
Author(s):  
S. A. El-Tantawy ◽  
W. M. Moslem
Keyword(s):  
Rogue Waves ◽  
Nonlinear Structures ◽  
Ion Plasma ◽  
Electron Positron ◽  
De Vries

scholarly journals Ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 563-567 ◽  
Author(s):  
Jianyong Wang ◽  
Ying Zeng ◽  
Zufeng Liang ◽  
Yani Xu ◽  
Yuanxiang Zhang
Keyword(s):  
Acoustic Waves ◽  
Vries Equation ◽  
Reductive Perturbation Method ◽  
Superthermal Electrons ◽  
Ion Plasma ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Ion Acoustic ◽  
De Vries ◽  
Superthermal Electrons And Positrons

Abstract In this work, we are concerned with the ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons. By using the reductive perturbation method, the Korteweg-de Vries equation is derived from the governing equations of ion acoustic waves. An interesting soliton-cnoidal wave solution of the Korteweg-de Vries equation and its quasi-soliton behaviour are presented. The influence of electron superthermality, positron superthermality and positron concentration ratio on characteristics of the quasi-soliton is confirmed to be significant.

Semiclassical relativistic fluid theory for electrostatic envelope modes in dense electron–positron–ion plasmas: Modulational instability and rogue waves

2013 ◽  
Vol 79 (6) ◽  
pp. 1089-1094 ◽  
Author(s):  
IOANNIS KOURAKIS ◽  
MICHAEL MC KERR ◽  
ATA UR-RAHMAN
Keyword(s):  
Fluid Model ◽  
Modulational Instability ◽  
Rogue Waves ◽  
Relativistic Electrons ◽  
Relativistic Fluid ◽  
Ion Plasma ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Perturbative Method ◽  
Fluid Theory

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.

Cylindrical Magnetosonic Solitary Waves by Modified Korteweg–de Vries–Burgers Equation in Electron–Positron–Ion Plasma

2020 ◽  
Vol 46 (2) ◽  
pp. 189-194
Author(s):  
D.-N. Gao ◽  
J.-P. Wu ◽  
Z.-R. Zhang ◽  
D. Luo ◽  
S.-M. Lin ◽  
...  
Keyword(s):  
Solitary Waves ◽  
Burgers Equation ◽  
Ion Plasma ◽  
Electron Positron ◽  
De Vries

Rogue waves for Kadomstev-Petviashvili equation in electron-positron-ion plasma

2014 ◽  
Vol 353 (2) ◽  
pp. 501-506 ◽  
Author(s):  
S. A. El-Wakil ◽  
Essam M. Abulwafa ◽  
A. Elhanbaly ◽  
E. K. El-Shewy
Keyword(s):  
Rogue Waves ◽  
Ion Plasma ◽  
Electron Positron ◽  
Petviashvili Equation
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