2021
DOI: 10.3390/galaxies9020031
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Dust-Acoustic Rogue Waves in an Electron-Positron-Ion-Dust Plasma Medium

Abstract: In this work, the modulational instability of dust-acoustic (DA) waves (DAWs) is theoretically studied in a four-component plasma medium with electrons, positrons, ions, and negative dust grains. The nonlinear and dispersive coefficients of the nonlinear Schrödinger equation (NLSE) are used to recognize the stable and unstable parametric regimes of the DAWs. It can be seen from the numerical analysis that the amplitude of the DA rogue waves decreases with increasing populations of positrons and ions. It is als… Show more

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Cited by 10 publications
(4 citation statements)
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“…For numerical analysis, we considered Z 1 = 20 ∼ 60, Z 2 = 1 ∼ 12, n 10 = 1 × 10 29 cm −3 ∼ 9 × 10 29 cm −3 , n 20 = 2 × 10 30 cm −3 ∼ 8 × 10 30 cm −3 , and n e 0 = 10 32 cm −3 ∼ 10 34 cm −3 . The IASHWs are governed by the Burgers equation (28), and the positive (negative) shock potential can exist corresponding to the limit of A > 0 (A < 0). The variation of A with µ 4 can be seen from Figure 1 (left panel), and it is clear from this figure that our plasma model only supports positive shock potential under the consideration of both non-relativistic positively charged heavy and light ions (i.e., α = 5/3), and ultra-relativistically degenerate electrons (i.e., γ e = 4/3).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…For numerical analysis, we considered Z 1 = 20 ∼ 60, Z 2 = 1 ∼ 12, n 10 = 1 × 10 29 cm −3 ∼ 9 × 10 29 cm −3 , n 20 = 2 × 10 30 cm −3 ∼ 8 × 10 30 cm −3 , and n e 0 = 10 32 cm −3 ∼ 10 34 cm −3 . The IASHWs are governed by the Burgers equation (28), and the positive (negative) shock potential can exist corresponding to the limit of A > 0 (A < 0). The variation of A with µ 4 can be seen from Figure 1 (left panel), and it is clear from this figure that our plasma model only supports positive shock potential under the consideration of both non-relativistic positively charged heavy and light ions (i.e., α = 5/3), and ultra-relativistically degenerate electrons (i.e., γ e = 4/3).…”
Section: Resultsmentioning
confidence: 99%
“…We investigated the fundamental characteristics of IASHWs in a magnetized DQPS with inertial non-relativistic positively charged heavy and light ions, inertialess ultrarelativistically degenerate electrons. The reductive perturbation method [27][28][29][30][31] was employed to derive the Burgers equation. The results found from the present study can be pinpointed as follows:…”
Section: Discussionmentioning
confidence: 99%
“…The evolution of a fundamental wave whose amplitude follows Equation ( 23) depends on both P and Q, which are also dependent on η, ρ, , µ 1 , and µ 2 . The stable and unstable parametric regimes of IAWs are determined by the sign of P and Q of Equation ( 23) [15,[24][25][26][27]. When P and Q have the same sign (i.e., P/Q > 0), the evolution of the IAW amplitude is modulationally unstable in the presence of external perturbations.…”
Section: Modulational Instability and Envelope Solitonsmentioning
confidence: 99%
“…and laboratory (viz., ac-discharge, plasma crystal [4], rf-discharges [4], Q-machine, and nano-materials [6], etc.) plasmas do not only change the dynamics of the dusty plasma medium (DPM), but also change the mechanism to the formation of various nonlinear electrostatic excitations [7][8][9], viz., dust-acoustic (DA) solitary waves (DASWs) [2], DA shock waves (DASHWs) [10], dust-ion-acoustic (DIA) solitary waves (DIASWs) [2], and DIA rogue waves (DIARWs) [11][12][13], etc.…”
Section: Introductionmentioning
confidence: 99%