Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasma

In this article, the nonlinear plasma model known the damped modified Korteweg–de Vries equation under consideration on the base of analytical technique to know the novel behavior of this nonlinear model. We formulated the nonlinear plasma model by utilizing the RP (reductive perturbation) technique...

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Main Authors: Mujahid Iqbal, Dianchen Lu, Aly R. Seadawy, Zhengdi Zhang
Format: Article
Language:English
Published: Elsevier 2024-04-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S221137972400216X
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author Mujahid Iqbal
Dianchen Lu
Aly R. Seadawy
Zhengdi Zhang
author_facet Mujahid Iqbal
Dianchen Lu
Aly R. Seadawy
Zhengdi Zhang
author_sort Mujahid Iqbal
collection DOAJ
description In this article, the nonlinear plasma model known the damped modified Korteweg–de Vries equation under consideration on the base of analytical technique to know the novel behavior of this nonlinear model. We formulated the nonlinear plasma model by utilizing the RP (reductive perturbation) technique with basic set of fluid system which consisted on cold negative charge dust fluid, immobile background neutral charges, positive charge ion fluid, fast (ionized) electrons and thermally electrons. We also constructed various kinds of novel soliton solutions including kink wave solitons, periodic solitary waves, anti-kink wave solitons for the damped modified KdV equation. The determined soliton solutions are novel, interested and did not determined in the previous research. The physical interpretation of demonstrated solutions represent in contour, two-dim and three-dim with computational software. The study prove that our proposed approach is powerful, efficient and can also be fruitful for study of other nonlinear models.
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spelling doaj.art-5c60f5f0a0ae4b20b87d2d039b3f73882024-04-12T04:45:08ZengElsevierResults in Physics2211-37972024-04-0159107533Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasmaMujahid Iqbal0Dianchen Lu1Aly R. Seadawy2Zhengdi Zhang3School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China; Corresponding authors.School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China; Corresponding authors.Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Corresponding authors.School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu 212013, PR ChinaIn this article, the nonlinear plasma model known the damped modified Korteweg–de Vries equation under consideration on the base of analytical technique to know the novel behavior of this nonlinear model. We formulated the nonlinear plasma model by utilizing the RP (reductive perturbation) technique with basic set of fluid system which consisted on cold negative charge dust fluid, immobile background neutral charges, positive charge ion fluid, fast (ionized) electrons and thermally electrons. We also constructed various kinds of novel soliton solutions including kink wave solitons, periodic solitary waves, anti-kink wave solitons for the damped modified KdV equation. The determined soliton solutions are novel, interested and did not determined in the previous research. The physical interpretation of demonstrated solutions represent in contour, two-dim and three-dim with computational software. The study prove that our proposed approach is powerful, efficient and can also be fruitful for study of other nonlinear models.http://www.sciencedirect.com/science/article/pii/S221137972400216XThe damped modified Korteweg–de Vries equationReductive perturbation techniqueExtended simple equation techniquePeriodic solitonsDust acoustic solitary waves
spellingShingle Mujahid Iqbal
Dianchen Lu
Aly R. Seadawy
Zhengdi Zhang
Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasma
Results in Physics
The damped modified Korteweg–de Vries equation
Reductive perturbation technique
Extended simple equation technique
Periodic solitons
Dust acoustic solitary waves
title Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasma
title_full Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasma
title_fullStr Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasma
title_full_unstemmed Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasma
title_short Nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified Korteweg–de Vries equation in dusty plasma
title_sort nonlinear behavior of dust acoustic periodic soliton structures of nonlinear damped modified korteweg de vries equation in dusty plasma
topic The damped modified Korteweg–de Vries equation
Reductive perturbation technique
Extended simple equation technique
Periodic solitons
Dust acoustic solitary waves
url http://www.sciencedirect.com/science/article/pii/S221137972400216X
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