Archipelagos, islands, necklaces, and other exotic structures in external force-driven chaotic dusty plasmas

Ali, Irfan; Masood, W.; Rizvi, H.; Alrowaily, Albandari W.; Ismaeel, Sherif M.E.; El-Tantawy, S.A.

doi:10.1016/j.chaos.2023.113931

Cited by 6 publications

(1 citation statement)

References 56 publications

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“…In future work, we can apply the proposed method to study and analyze many evolution equations that are used to describe the characteristics of many nonlinear phenomena that arise in different plasma systems. For example, it is possible to study the effect of the time and space fractional parameters on the properties of solitary and shock waves that arise within the various plasma systems, which are described by the Korteweg-de Vries (KdV)-type equations with third-order dispersion (e.g., KdV, modified KdV (mKdV), Extended/Gardner KdV equation, KdV-Burgers equation, and so on) [41][42][43][44][45][46][47][48][49][50][51][52] and higher-order dispersion (e.g., Kawahara-type equation with some physical effects) and many other related equations [53][54][55][56][57][58][59][60][61][62][63][64], whether in their integral or nonintegral form. Also, this method can be applied to investigating modulated nonlinear structures such as modulated envelope solitons, modulated cnoidal waves, rogue waves and breathers that are described by the standard form of undamped planar nonlinear Schrödinger equation (NLSE) [65][66][67][68][69][70][71][72][73][74] and the damped or nonplanar NLSE [75][76][77][78][79]…”

Section: Discussionmentioning

confidence: 99%

A novel analytical technique for analyzing the (3+1)-dimensional fractional calogero- bogoyavlenskii-schiff equation: investigating solitary/shock waves and many others physical phenomena

Noor,

Alyousef,

Shafee

et al. 2024

Phys. Scr.

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This work presents a thorough analysis of soliton wave phenomena in the (3+1)-dimensional Fractional Calogero-Bogoyavlenskii-Schiff equation (FCBSE) with Caputo’s derivatives through the use of a novel analytical technique known as the modified Extended Direct Algebraic Method (mEDAM). By converting nonlinear Fractional Partial Differential equations (FPDE) into integer-order Nonlinear Ordinary Differential equations (NODE), and then using closed-form series solutions to translate the NODE into an algebraic system of equations, this method allows us to derive families of soliton solutions, which include kink waves, lump waves, breather waves, and periodic waves, exposing new insights into the behavior and distinctive features of soliton waves in the FCBSE. By including contour and 3D graphics, the behaviors of a few selected soliton solutions are well depicted, showcasing their amplitude, shape, and propagation characteristics. The results enhance our understanding of the FCBSE and show that the mEDAM is a valuable tool for studying soliton wave phenomena. This work creates new opportunities for studying wave phenomena in more intricately constructed nonlinear FPDEs (NFPDEs).

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Section: Discussionmentioning

confidence: 99%

A novel analytical technique for analyzing the (3+1)-dimensional fractional calogero- bogoyavlenskii-schiff equation: investigating solitary/shock waves and many others physical phenomena

Noor,

Alyousef,

Shafee

et al. 2024

Phys. Scr.

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Ion-acoustic cnoidal waves in a non-Maxwellian plasma with regularized κ-distributed electrons

Hammad,

Khalid,

Alrowaily

et al. 2023

AIP Advances

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This study examines how regularized kappa distributed (RKD) electrons affect the characteristics of the ion-acoustic cnoidal waves (IACWs) in normal plasma. The RKD is a generalized form of the standard kappa distribution that accounts for the impacts of thermal broadening and finite size effects on the plasma particles. By employing the reductive perturbation technique, the Korteweg–de Vries equation is derived, and its nonlinear cnoidal wave (CW) solution is obtained and analyzed both analytically and numerically. It is found that the amplitude of compressive IACWs increases with an enhanced cutoff parameter α and decreases with increasing superthermality κ. Rarefactive IACWs yield opposing results as compared to compressive IACWs under the impact of κ and α. The results provide insight into the behavior of CWs in normal plasmas with non-Maxwellian distributions and contribute to the understanding of wave-particle interactions in laboratory and space plasmas.

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On the dynamics of large-amplitude ion-acoustic waves in a non-Maxwellian plasma with nonthermal electrons and an electron beam

Alyousef,

Naeem,

Irshad

et al. 2024

Physics of Fluids

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This work investigates the characteristics of nonlinear large-amplitude ion-acoustic waves that occur and propagate in a non-Maxwellian plasma consisting of inertial ions and electrons beam as well as inertialess Cairns-distributed electrons. For this purpose, this inquiry utilizes a two-fluid model with the Sagdeev pseudopotential technique. By utilizing the Sagdeev pseudopotential, a mathematical equation similar to an energy balance equation is derived. The effects of the related physical parameters, including the inertialess electron concentration, the electron beam concentration, and the electron beam velocity, on the existence region of the solitary waves (SWs), and accordingly, the properties of ion-acoustic SWs (IASWs) are examined. Also, the Cairns distribution of electrons can significantly affect the features of large-amplitude IASWs, depending on the parameter that controls the distribution (the inertialess electron nonthermality). Additionally, the distinctive features of the solitary waves and their existence domain in connection with the relevant plasma parameters are also addressed.

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Archipelagos, islands, necklaces, and other exotic structures in external force-driven chaotic dusty plasmas

Cited by 6 publications

References 56 publications

A novel analytical technique for analyzing the (3+1)-dimensional fractional calogero- bogoyavlenskii-schiff equation: investigating solitary/shock waves and many others physical phenomena

A novel analytical technique for analyzing the (3+1)-dimensional fractional calogero- bogoyavlenskii-schiff equation: investigating solitary/shock waves and many others physical phenomena

Ion-acoustic cnoidal waves in a non-Maxwellian plasma with regularized κ-distributed electrons

On the dynamics of large-amplitude ion-acoustic waves in a non-Maxwellian plasma with nonthermal electrons and an electron beam

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