High-Frequency Electrostatic Cnoidal Waves in Unmagnetized Plasma

Khalid, Muhammad; Ata-ur-Rahman,; Minhas, Rashid; Alotaibi, Badriah M.; El-Tantawy, S. A.

doi:10.1007/s13538-023-01369-8

Braz J Phys

2023

DOI: 10.1007/s13538-023-01369-8

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High-Frequency Electrostatic Cnoidal Waves in Unmagnetized Plasma

Muhammad Khalid,

Ata-ur-Rahman,

Rashid Minhas

et al.

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2024

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Cited by 3 publications

References 43 publications

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Bifurcation, quasi‐periodic, chaotic pattern, and soliton solutions for a time‐fractional dynamical system of ion sound and Langmuir waves

Elmandouh

2024

Math Methods in App Sciences

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This paper strives to investigate the time fractional system that characterizes the ion sound wave influenced by the ponderomotive force induced by a high‐frequency field, as well as the Langmuir wave in plasma. Initially, based on the qualitative theory for planar integrable systems, four‐phase portraits are found in the phase plane under certain conditions on the physical parameters. These conditions are used to prove analytically the existence of solitary, kink (anti‐kink), periodic, super‐periodic, and unbounded wave solutions. The correspondence between the energy levels, phase orbits, and consequently the type of the solution is announced. We derived the bounded wave solutions associated with the phase orbits, which are shown to be consistent with the qualitative analysis of the types of solutions. Moreover, we studied the consistency between the obtained solutions by investigating the degeneracy of the solutions through the transmission between the phase orbits, or equivalently, through the dependence on the initial conditions. With the presence of perturbed periodic terms, the quasi‐periodic behavior and chaotic patterns are investigated.

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Bifurcation, quasi‐periodic, chaotic pattern, and soliton solutions for a time‐fractional dynamical system of ion sound and Langmuir waves

Elmandouh

2024

Math Methods in App Sciences

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On the arbitrary amplitude ion-acoustic structures in an anisotropic non-Maxwellian electron–positron–ion magnetoplasma

Almas,

Almuqrin,

Rahman

et al. 2024

Physics of Fluids

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This paper comprehensively investigates the oblique propagation of ion-acoustic solitary waves (IASWs) with arbitrary amplitude in a magnetoplasma consisting of inertialess non-Maxwellian (nonthermal) electrons, inertialess Maxwellian positrons, and inertial adiabatically heated ions. It is postulated that the positive ions demonstrate adiabatic behavior that is distinguished by anisotropic thermal pressure. The study utilizes Sagdeev's pseudopotential theory to analyze the fluid equations of the plasma model and reduce them to the energy equation. Different plasma configuration factors, such as nonthermal parameters, positron concentration, and parallel and perpendicular ion pressure, are being studied to see how they affect the properties of solitary waves with large amplitudes. The findings demonstrate the simultaneous coexistence of compressive and rarefactive IASWs, significantly influenced by positrons and nonthermal electron parameters. The study provides valuable insights into wave phenomena in magnetized plasmas and presents possible applications in both Space and laboratory plasma environments.

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Arbitrary amplitude electron-acoustic solitary waves in magnetoplasma with Kaniadakis distributed electrons

Alrowaily,

Khalid,

Kabir

et al. 2024

AIP Advances

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This study investigates the arbitrary amplitude high-frequency electron-acoustic (EA) solitary waves (EASWs) in a multi-component magnetoplasma consisting of inertial fluid cold electrons and inertialess Kaniadakis distributed hot electrons and stationary positive ions. The Sagdeev potential approach is implemented to derive the energy-balance equation governing arbitrary amplitude EASWs’ dynamics. On examining the condition responsible for determining the polarity of the waves, it was discovered that the existing model exclusively allows for the existence of negative (rarefactive) EASWs. The influence of critical factors, such as Mach number, the direction of propagation, the strength of the magnetic field, and the κ-deformed parameter on the profile of the EASWs is examined and discussed. We will also determine whether shock waves can exist and propagate in this model or not after checking all the criteria for their existence.

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High-Frequency Electrostatic Cnoidal Waves in Unmagnetized Plasma

Cited by 3 publications

References 43 publications

Bifurcation, quasi‐periodic, chaotic pattern, and soliton solutions for a time‐fractional dynamical system of ion sound and Langmuir waves

Bifurcation, quasi‐periodic, chaotic pattern, and soliton solutions for a time‐fractional dynamical system of ion sound and Langmuir waves

On the arbitrary amplitude ion-acoustic structures in an anisotropic non-Maxwellian electron–positron–ion magnetoplasma

Arbitrary amplitude electron-acoustic solitary waves in magnetoplasma with Kaniadakis distributed electrons

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