Nonlinear dynamical analysis of drift ion acoustic shock waves in Electron-Positron-Ion plasma with adiabatic trapping

Iqbal, Zeeshan; Shah, H. A.; Qureshi, M. N. S.; Masood, W.; Fayyaz, Amna

doi:10.1016/j.rinp.2022.105948

Cited by 6 publications

(2 citation statements)

References 42 publications

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“…The extreme points of the potential function P (Ψ) expressed in (20) corresponds to the equilibrium points of the dynamic system (14), see [58]. Figures 1-4 show the bifurcation of the equilibria of system (14).…”

Section: Existence Of Traveling Wave Solutionsmentioning

confidence: 99%

Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron–Positron Plasma

et al. 2023

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In this paper, we discuss the time-fractional mKdV–ZK equation, which is a kind of physical model, developed for plasma of hot and cool electrons and some fluid ions. Based on the properties of certain employed truncated M-fractional derivatives, we reduce the time-fractional mKdV–ZK equation to an integer-order ordinary differential equation utilizing an adequate traveling wave transformation. Further, we derive a dynamical system to present bifurcation of the equation equilibria and show existence of solitary and kink singular wave solutions for the time-fractional mKdV–ZK equation. Furthermore, we establish symmetric solitary, kink, and singular wave solutions for the governing model by using the ansatz method. Moreover, we depict desired results at different physical parameter values to provide physical interpolations for the aforementioned equation. Finally, we introduce applications of the governing model in detail.

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Section: Existence Of Traveling Wave Solutionsmentioning

confidence: 99%

Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron–Positron Plasma

et al. 2023

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“…Bouziane and Annou have investigated the role of positrons on the generation of shock waves in an ep-i plasma and also observed the impact of the other plasma parameters on the shock waves [13]. Iqbal et al investigated the propagation of nonlinear coupled drift ion acoustic shock waves in an e-p-i plasma where they considered the presence of adiabatically trapped electrons [14]. Khalid et al conducted a theoretical investigation on oblique propagation of ion acoustic solitary waves in an e-p-i plasma in the presence of nonthermal particles following the Cairns distribution [15].…”

Section: Introductionmentioning

confidence: 99%

An overview of ion-acoustic solitary and shock waves in a magnetized nonthermal plasma: influence of trapped positrons and electrons

Habib,

Hassan,

Alam

et al. 2024

Plasma Phys. Control. Fusion

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A magnetized nonthermal electron-positron-ion (e-p-i) plasma is considered to study the propagation properties of ion-acoustic solitary and shock waves in the presence of trapped positrons and electrons for the first time. The Schamel-$\kappa$ (kappa) distribution function describing the plasma nonthermality as well as particle trapping is assumed to consider electrons and positrons. The diffusive effect of ion plasma fluid, which is responsible for shock dynamics is taken into account. A nonlinear Schamel-Korteweg-de Vries-Burgers' (SKdVB) equation is derived by employing the reductive perturbation approach, and the solitary and shock wave solutions of the SKdVB equation have also been derived for different limiting cases. It is found that only positive potential nonlinear structures (for both solitary and shock waves) are formed in the proposed plasma system. The condition for stable solitons in the absence of dissipation is analysed and the nature of arbitrary amplitude solitary waves (obtained via the Sagdeev potential approach) is discussed. It is investigated theoretically and numerically that different plasma compositional parameters [such as the trapping effect of electrons ($\beta_e$) and positrons ($\beta_p$), the obliquity effect ($\theta$), electron-to-ion number density ratio ($\mu_e$), the magnetic field effect (via $\Omega$) and the viscous effect ( via $\eta$)] have significant influence on the dynamics ion-acoustic solitary and shock waves. The theoretical and numerical investigations in this study may be helpful in describing the nature of localised structures in different plasma contexts, e.g., space and astrophysical plasmas, experimental plasmas where electron-positron-ion plasmas exist.

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Nonlinear ion acoustic waves in dense magnetoplasmas: Analyzing interaction solutions of the KdV equation using Wronskian formalism for electron trapping with Landau diamagnetism and thermal excitations

Shah,

Masood,

Siddiq

et al. 2024

Chaos, Solitons & Fractals

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Nonlinear dynamical analysis of drift ion acoustic shock waves in Electron-Positron-Ion plasma with adiabatic trapping

Cited by 6 publications

References 42 publications

Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron–Positron Plasma

Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron–Positron Plasma

An overview of ion-acoustic solitary and shock waves in a magnetized nonthermal plasma: influence of trapped positrons and electrons

Nonlinear ion acoustic waves in dense magnetoplasmas: Analyzing interaction solutions of the KdV equation using Wronskian formalism for electron trapping with Landau diamagnetism and thermal excitations

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