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Nonlinear dust ion acoustic solitary waves propagation in a magnetized plasma with Tsallis electron distribution Cover

Nonlinear dust ion acoustic solitary waves propagation in a magnetized plasma with Tsallis electron distribution

International Journal of Mathematics and Computer in Engineering
Volume 3 (2025): Issue 2 (December 2025)
By: Muktarul Rahman and  Satyendra Nath Barman  
Open Access
|Sep 2024

Figures & Tables

Fig. 1

The dispersion relation of electrostatic waves (a) for q = 0.4 (dotted line), q = 0.8 (dashed line), q = 1.2 ( dot - dashed line), q = 1.6 (solid line) with σ = 0.1, μ = 0.2 and θ = 10°; (b) for σ = 0.0 (dotted line), σ = 0.1 (dashed line), σ = 0.2 (dot-dashed line), σ = 0.3 (solid line) with q = 0.8, σ = 0.1 and θ = 10°; (c) for μ = 0.1 (dotted line), μ = 0.2 (dashed line), μ = 0.3 (dot-dashed line), μ = 0.4 (solid line) with q = 0.8, μ = 0.2 and θ = 10°; (d) for θ = 10° (dotted line), θ = 20° (dashed line), θ = 30° (dot-dashed line), θ = 40° (solid line) with q = 0.6, σ = 0.1 and μ = 0.2. In all the panels, Ω = 0.3 upper red curves shows ω+ and lower blue curves shows ω−.
The dispersion relation of electrostatic waves (a) for q = 0.4 (dotted line), q = 0.8 (dashed line), q = 1.2 ( dot - dashed line), q = 1.6 (solid line) with σ = 0.1, μ = 0.2 and θ = 10°; (b) for σ = 0.0 (dotted line), σ = 0.1 (dashed line), σ = 0.2 (dot-dashed line), σ = 0.3 (solid line) with q = 0.8, σ = 0.1 and θ = 10°; (c) for μ = 0.1 (dotted line), μ = 0.2 (dashed line), μ = 0.3 (dot-dashed line), μ = 0.4 (solid line) with q = 0.8, μ = 0.2 and θ = 10°; (d) for θ = 10° (dotted line), θ = 20° (dashed line), θ = 30° (dot-dashed line), θ = 40° (solid line) with q = 0.6, σ = 0.1 and μ = 0.2. In all the panels, Ω = 0.3 upper red curves shows ω+ and lower blue curves shows ω−.

Fig. 2

The dispersion relation of electrostatic waves for Ω = 0.1 (dotted line), Ω = 0.2 (dashed line), Ω = 0.3 (dot-dashed line), Ω = 0.4 (solid line) and q = 0.6, σ = 0.1, μ = 0.2, the upper red curves shows ω+ and lower blue curves shows ω−.
The dispersion relation of electrostatic waves for Ω = 0.1 (dotted line), Ω = 0.2 (dashed line), Ω = 0.3 (dot-dashed line), Ω = 0.4 (solid line) and q = 0.6, σ = 0.1, μ = 0.2, the upper red curves shows ω+ and lower blue curves shows ω−.

Fig. 3

(a) The nonlinear term A and (b) The dispersion term B, versus q for different θ. Where σ = 0.1, μ = 0.2, and Ω = 0.3.
(a) The nonlinear term A and (b) The dispersion term B, versus q for different θ. Where σ = 0.1, μ = 0.2, and Ω = 0.3.

Fig. 4

(a) The nonlinear term A and (b) The dispersion term B, versus μ for different σ. Where q = 0.8, μ = 0.2, and Ω = 0.3.
(a) The nonlinear term A and (b) The dispersion term B, versus μ for different σ. Where q = 0.8, μ = 0.2, and Ω = 0.3.

Fig. 5

The dispersion term B versus Ω, with q = 0.6, σ = 0.1, μ = 0.2, and θ = 10°.
The dispersion term B versus Ω, with q = 0.6, σ = 0.1, μ = 0.2, and θ = 10°.

Fig. 6

The variation of μc versus q for different values of σ ≠ 0.
The variation of μc versus q for different values of σ ≠ 0.

Fig. 7

The dust ion acoustic solitary wave potential ϕ1(ρ) versus ρ, (a) for different values of q with q = 0.8, μ = 0.2 and θ = 10°; (b) for different values of σ with q = 0.8, σ = 0.1 and θ = 10°; (c) for different values of μ < μc with q = 0.8, σ = 0.1 and θ = 10°; and (d) for different values of μ > μc with q = 0.8, σ = 0.1 and θ = 10°. In all the panels, Ω = 0.3 and C = 0.04.
The dust ion acoustic solitary wave potential ϕ1(ρ) versus ρ, (a) for different values of q with q = 0.8, μ = 0.2 and θ = 10°; (b) for different values of σ with q = 0.8, σ = 0.1 and θ = 10°; (c) for different values of μ < μc with q = 0.8, σ = 0.1 and θ = 10°; and (d) for different values of μ > μc with q = 0.8, σ = 0.1 and θ = 10°. In all the panels, Ω = 0.3 and C = 0.04.

Fig. 8

The dust ion acoustic solitary wave potential ϕ1(ρ) versus ρ for different values of θ. Where q = 0.8, σ = 0.1, μ = 0.2, Ω = 0.3 and C = 0.04.
The dust ion acoustic solitary wave potential ϕ1(ρ) versus ρ for different values of θ. Where q = 0.8, σ = 0.1, μ = 0.2, Ω = 0.3 and C = 0.04.

Fig. 9

The dust ion acoustic solitary wave potential ϕ1(ρ) versus ρ, (a) for different values of Ω with C = 0.04; (b) for different values of C and Ω = 0.3. Where q = 0.8, σ = 0.1, μ = 0.2 and θ = 10°.
The dust ion acoustic solitary wave potential ϕ1(ρ) versus ρ, (a) for different values of Ω with C = 0.04; (b) for different values of C and Ω = 0.3. Where q = 0.8, σ = 0.1, μ = 0.2 and θ = 10°.

Fig. 10

The second order nonlinearity A1 versus q, for different values of σ with θ = 10° and μ = μc.
The second order nonlinearity A1 versus q, for different values of σ with θ = 10° and μ = μc.

Fig. 11

The modified solitary wave potential ϕ′ (ρ) versus ρ, (a) for different values of q with σ = 0.1, θ = 10° and Ω = 0.3; (b) for different values of σ with q = 0.8, θ = 10° and Ω = 0.3; (c) for different values of θ with q = 0.8, σ = 0.1 and Ω = 0.3, and (d) for different values of Ω with q = 0.8, σ = 0.1 and θ = 10°. in all the panels C = 0.04 and μ = μc.
The modified solitary wave potential ϕ′ (ρ) versus ρ, (a) for different values of q with σ = 0.1, θ = 10° and Ω = 0.3; (b) for different values of σ with q = 0.8, θ = 10° and Ω = 0.3; (c) for different values of θ with q = 0.8, σ = 0.1 and Ω = 0.3, and (d) for different values of Ω with q = 0.8, σ = 0.1 and θ = 10°. in all the panels C = 0.04 and μ = μc.
DOI: https://doi.org/10.2478/ijmce-2025-0017 | Journal eISSN: 2956-7068
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Language: English
Page range: 223 - 240
Submitted on: Jan 22, 2024
Accepted on: Apr 18, 2024
Published on: Sep 18, 2024
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Dust ion acoustic soliton,
solitary wave,
magnetized plasma,
KdV equation,
Tsallis –nonextensive distribution
Related subjects:
Computer sciences,
Computer sciences, other,
Engineering,
Introductions and overviews,
Engineering, other,
Mathematics,
General mathematics,
Physics,
Physics, other

© 2024 Muktarul Rahman, Satyendra Nath Barman, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.

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