Propagation of Solitary Waves and Double-Layers in Electron–Positron Pair Plasmas with Stationary Ions and Nonextensive Electrons

IEEE Trans. Plasma Sci.

Sultana

Mamun

2018

The investigation employed the reductive perturbation approach to study the nonlinear propagation of shear Alfvénic waves in an electron-positron (EP) plasma medium. Utilizing the solitary wave solution of the derivative nonlinear Schrödinger equation, the fundamental properties of EP shear Alfvén (EPSA) waves were identified, with a focus on their key features such as speed, amplitude, and width. The analysis revealed the presence of hump-shaped solitary waves. Additionally, comparing the numerical results obtained through the finite difference method and the exact solution demonstrated good agreement between the two. These findings hold significance in comprehending nonlinear electromagnetic wave phenomena in laboratory plasma and space environments where EP plasma is present such as solar wind, Earth's magnetosphere, pulsars' magnetospheres, microquasars, and tokamaks.

Section: Introductionmentioning

confidence: 99%

Shear Alfvén Waves in a Magnetized Electron–Positron Plasma

IEEE Trans. Plasma Sci.

Sultana

Mamun

2018

Propagation of Compressional Alfvén Waves in a Magnetized Pair Plasma Medium

Sultana

2022

AIP Advances

The reductive perturbation approach was used to explore the nonlinear propagation of fast (compressive) and slow (rarefactive) electron–positron (EP) magnetoacoustic (EPMA) modes in an EP plasma medium. The solitary wave solution of the Korteweg-de Vries (K-dV) equation is used to identify the basic properties of EP compressional Alfvén waves. It is shown that the fast (slow) EPMA mode is predicted to propagate as compressive (rarefactive) solitary waves. The basic features (i.e., speed, amplitude, and width) of the compressive (i.e., fast) EPMA waves are found to be completely different from those of rarefactive (i.e., slow) EPMA ones. It is also examined that hump (dip) shape solitary waves are found for the fast (slow) mode. The significance of our findings is in understanding the nonlinear electromagnetic wave phenomena in laboratory plasma and space environments where EP plasma may exist.

Propagation of nonlinear waves in multi-component pair plasmas and electron–positron–ion plasmas

2022

AIP Advances

The propagation of small amplitude stationary profile nonlinear solitary waves in a pair plasma is investigated by employing the reductive perturbation technique via the well-known Korteweg–de Vries (KdV) and modified KdV (mKdV) equations. This study tends to derive the exact form of nonlinear solutions and study their characteristics. Two distinct pair-ion species of opposite polarity and the same mass are considered in addition to a massive charged background species that is assumed to be stationary, and given the frequency scale of interest within the pair-ion context, the third species is thought of as a background defect (e.g., charged dust) component. On the opposite hand, the model conjointly applies formally to electron–positron–ion plasmas if one neglects electron–positron annihilation. A parametric analysis is carried out, with regard to the impact of the dusty plasma composition (background number density), species temperature(s), and background species. It is seen that distinguishable solitary profiles are observed for KdV and mKdV equations. The results are connected in pair-ion (fullerene) experiments and potentially in astrophysical environments of Halley’s comet and pulsar magnetosphere as well.