Nonplanar dust acoustic waves in a four-component dusty plasma with double spectral distributed electrons: modulational instability and rogue waves

El‐Labany, S. K.; El-Taibany, W. F.; El-Tantawy, A. A.; Zedan, N. A.

doi:10.1080/17455030.2021.1951886

Cited by 11 publications

(3 citation statements)

References 50 publications

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“…Substitute the equation (24) into the equation ( 9) with considering the equation (23), then collect every coefficient of the F(ξ) and F F ( ) ( ) x x ¢ , we get the following algebraic system;…”

Section: Utilization Of Gfemmentioning

confidence: 99%

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Soliton solutions of coupled resonant Davey-Stewartson system and modulation instability analysis

Onder¹,

Seçer²,

Bayram³

2023

Phys. Scr.

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We have discussed the perturbed Gerdjikov-Ivanov (pGI) equation describing optical pulse propagation (PP) with perturbation effects, which has various applications in optical fibers, especially in photonic crystal fibers. According to our literature review, we have discovered new and original soliton types using the Sardar sub-equation and the modified Kudryashov methods, which have not been applied to this model before. We obtained dark, bright, periodic-singular and periodic-M-shaped soliton solutions, respectively. The analytical forms of the obtained solutions are represented by 3D, 2D and contour graphics. In addition, the physical effects of the solution parameters on the wave envelope have been described and clearly interpreted by presenting their 2D graphics

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Section: Utilization Of Gfemmentioning

confidence: 99%

“…In addition, we did modulation instability (MI) analysis for the obtained results. Researchers can find detailed information about MI analysis in [23][24][25][26][27]. Organization of the paper is as follows; in section 2, we did a mathematical analysis of the system and obtained NODE form of the PDE via wave transformation.…”

Section: Introductionmentioning

confidence: 99%

Soliton solutions of coupled resonant Davey-Stewartson system and modulation instability analysis

Onder¹,

Seçer²,

Bayram³

2023

Phys. Scr.

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“…In order to describe the flat top behaviour, Qureshi et al [32] originally proposed this double spectral index distribution, where the q-index modifies the population of electrons in the distribution's tail and the r-index governs the electrons at low energies. The generalized ( ) r q , distribution has recently been used to explain data in the Earth's magnetosphere [33,34], and its impact on wave propagation in plasmas has also been studied [35,36]. However, the ( ) r q , distribution function's generalized version is [37]…”

Section: Introductionmentioning

confidence: 99%

Nonlinear structure and growth rate of solitary waves for extended Zakharov-Kuznetsov equation in plasma having (r, q) distribution electrons

El-Awady,

Abdikian,

Saha

2024

Phys. Scr.

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The Reductive Perturbation Technique (RPT) is used to investigate ion acoustic waves (IAWs) in magnetized plasmas made up of electrons obeying the generalized form of ( r , q ) distribution. The analysis makes use of the Extended Zakharov-Kuznetsov (EZK) equation and the hydrodynamic theory of plasmas. The study investigates the effects of electron flatness ( r ) at low energy and superthermal ( q ) at high energy on the characteristics of IAWs, and the solutions to the EZK equation are plotted for different values of the plasma characteristics, such as the total ion cyclotron frequency, the ion to electron temperature ratio, and the ion-specific heat. The research goes into great detail to estimate the instability threshold and growth rate of these waves by applying a small-k perturbation technique. Overall, this investigation contributes to the better understanding of ion acoustic structures in space plasmas.

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Dust ion-acoustic singular solitons interaction with non-extensive electrons

Ghosh

Nasipuri²,

Chatterjee³

2022

Indian J Phys

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Nonplanar dust acoustic waves in a four-component dusty plasma with double spectral distributed electrons: modulational instability and rogue waves

Cited by 11 publications

References 50 publications

Soliton solutions of coupled resonant Davey-Stewartson system and modulation instability analysis

Soliton solutions of coupled resonant Davey-Stewartson system and modulation instability analysis

Nonlinear structure and growth rate of solitary waves for extended Zakharov-Kuznetsov equation in plasma having (r, q) distribution electrons

Dust ion-acoustic singular solitons interaction with non-extensive electrons

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