On the dynamics of nonlinear propagation and interaction of the modified KP solitons in multicomponent complex plasmas

Shohaib, Muhammad; Masood, W.; Jahangir, R.; Siddiq, M.; Alkhateeb, Sadah A.; El-Tantawy, S. A.

doi:10.1016/j.joes.2021.10.005

Cited by 26 publications

(15 citation statements)

References 65 publications

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“…13,14 During the last few years, DA solitary waves (DASWs) in complex plasmas have been examined by many researchers. [15][16][17][18][19][20][21] To investigate the formation of nonlinear structures in a dusty plasma, massless charged species are generally presumed to have a Maxwellian distribution. However, satellite missions have indicated that there are many regions in space plasmas where charged species deviate from Maxwellian behavior.…”

Section: Introductionmentioning

confidence: 99%

“…Then, at the critical condition, we proceed to the next order of nonlinearity and derive the mKP equation. 21 In dusty plasmas, two-dimensional nonlinear equations have been investigated in a variety of physical situations of interest. Gill et al 16 studied the KP equation in a dusty plasma and obtained compressive (positive) and rarefactive (negative) solitons.…”

Section: Introductionmentioning

confidence: 99%

“…13,14 During the last few years, DA solitary waves (DASWs) in complex plasmas have been examined by many researchers. 15–21…”

Section: Introductionmentioning

confidence: 99%

“…Kadomtsev and Petviashvili proposed a universal two-dimensional wave equation known as Kadomtsev Petviashvili (KP) equation after their names to investigate the stability of solitary waves under transverse perturbations. 16,21,37 The nonlinearity arising in KP equation is in quadratic form. The reductive perturbation technique (RPT) is always used to derive small amplitude wave equations like Korteweg-de Vries (KdV), KP and modified mKP, etc.…”

Section: Introductionmentioning

confidence: 99%

“…Then, at the critical condition, we proceed to the next order of nonlinearity and derive the mKP equation. 21…”

Section: Introductionmentioning

confidence: 99%

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Formation of electrostatic solitary and periodic waves in dusty plasmas in the light of Voyager 1 and 2 spacecraft and Freja satellite observations

Shohaib

Masood

Siddiq

et al. 2022

Journal of Low Frequency Noise, Vibration and Active Control

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Motivated by the observations of Voyager 1 and 2 spacecraft and Freja satellite observations in Saturn’s magnetosphere, the formation of dust-acoustic (DA) localized and periodic waves in a complex plasma having superthermal electrons and ions are reported. In this regard, a modified Kadomtsev–Petviashvili (mKP) equation is derived by employing the weak turbulence theory for studying the characteristics of the nonlinear dust-acoustic waves (DAWs) in the model under consideration. The localized and periodic wave solutions to the mKP equation are derived using ansatz method in terms of Jacobi elliptic functions (JEFs). It is reported that the phase velocity of the DAWs in the Saturn’s magnetosphere is lower for kappa distributed ions and electrons by comparison with regions of space plasmas where the electrons and ions follow the Maxwellian distribution. The conditions for the existence of both localized and periodic waves are also presented. Estimates are also given of the spatial scales over which the dust-acoustic solitary/periodic structures form in Saturn’s magnetosphere.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…13,14 During the last few years, DA solitary waves (DASWs) in complex plasmas have been examined by many researchers. 15–21…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Then, at the critical condition, we proceed to the next order of nonlinearity and derive the mKP equation. 21…”

Section: Introductionmentioning

confidence: 99%

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Formation of electrostatic solitary and periodic waves in dusty plasmas in the light of Voyager 1 and 2 spacecraft and Freja satellite observations

Shohaib

Masood

Siddiq

et al. 2022

Journal of Low Frequency Noise, Vibration and Active Control

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Consequence of head‐on collision and double‐layer soliton with linear analysis in multi‐component dusty plasmas

Imon,

Alam

2023

Contrib. Plasma Phys

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The unmagnetized multicomponent collisional dusty plasmas have been considered to investigate the consequence of head‐on collision of dust‐ion‐acoustic waves (DIAWs) with nonlinear characteristic analysis of DIAWs and collisionless plasmas have been considered for studying the production of double layer (DL). The plasma system consists of positively charged ion fluid, negatively charged cold dust fluid, thermal electrons, q‐nonextensive electrons, and immobile background neutral particles. The extended Poincaré‐Lighthill‐Kuo (ePLK) method has been used to derive two‐sided damped Korteweg–De Vries (dKdV) equations and the reductive perturbation method has been used to derive modified KdV (mKdV) equation and the standard Gardner equation (SGE). Linear dispersion relation is derived using linear perturbation technique. The nonlinear propagation of DIA Gardner solitons (DIAGSs) and double layers (DLs) as well as phase shifts have been investigated for the effects of the concerned parameters. It is found that the DIA soliton structures are significantly modified by the species densities, dust mass, and superextensive parameter. The rarefactive dip shape solitary Gardner solitons become produced for the effects of concerned parameters and the positive (negative) DLs become produced in the range of () for the effect of temperatures on the species. The superextensive and the subextensive parameters of electrons significantly affect the DL soliton structures.

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Solitary wave solutions to some nonlinear conformable partial differential equations

Kılıç

Çelık

2023

Opt Quant Electron

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On the dynamics of nonlinear propagation and interaction of the modified KP solitons in multicomponent complex plasmas

Cited by 26 publications

References 65 publications

Formation of electrostatic solitary and periodic waves in dusty plasmas in the light of Voyager 1 and 2 spacecraft and Freja satellite observations

Formation of electrostatic solitary and periodic waves in dusty plasmas in the light of Voyager 1 and 2 spacecraft and Freja satellite observations

Consequence of head‐on collision and double‐layer soliton with linear analysis in multi‐component dusty plasmas

Solitary wave solutions to some nonlinear conformable partial differential equations

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