Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components
The presence and propagation of dust-acoustic solitary waves in dusty plasma contains four components such as negative and positive dust species beside ions and electrons are studied. Both the ions and electrons distributions are represented applying nonextensive formula. Employing the reductive per...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7935317 |
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| author | Abeer A. Mahmoud Essam M. Abulwafa Abd-alrahman F. Al-Araby Atalla M. Elhanbaly |
| author_facet | Abeer A. Mahmoud Essam M. Abulwafa Abd-alrahman F. Al-Araby Atalla M. Elhanbaly |
| author_sort | Abeer A. Mahmoud |
| collection | DOAJ |
| description | The presence and propagation of dust-acoustic solitary waves in dusty plasma contains four components such as negative and positive dust species beside ions and electrons are studied. Both the ions and electrons distributions are represented applying nonextensive formula. Employing the reductive perturbation method, an evolution equation is derived to describe the small-amplitude dust-acoustic solitons in the considered plasma system. The used reductive perturbation stretches lead to the nonlinear KdV and modified KdV equations with nonlinear and dispersion coefficients that depend on the parameters of the plasma. This study represents that the presence of compressive or/and rarefactive solitary waves depends mainly on the value of the first-order nonlinear coefficient. The structure of envelope wave is undefined for first-order nonlinear coefficient tends to vanish. The coexistence of the two types of solitary waves appears by increasing the strength of nonlinearity to the second order using the modified KdV equation. |
| format | Article |
| id | doaj-art-5f51177c40b6414f92e5b3a61020047b |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-5f51177c40b6414f92e5b3a61020047b2025-02-03T05:52:47ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/79353177935317Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four ComponentsAbeer A. Mahmoud0Essam M. Abulwafa1Abd-alrahman F. Al-Araby2Atalla M. Elhanbaly3Theoretical Physics Research Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptTheoretical Physics Research Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptTheoretical Physics Research Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptTheoretical Physics Research Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptThe presence and propagation of dust-acoustic solitary waves in dusty plasma contains four components such as negative and positive dust species beside ions and electrons are studied. Both the ions and electrons distributions are represented applying nonextensive formula. Employing the reductive perturbation method, an evolution equation is derived to describe the small-amplitude dust-acoustic solitons in the considered plasma system. The used reductive perturbation stretches lead to the nonlinear KdV and modified KdV equations with nonlinear and dispersion coefficients that depend on the parameters of the plasma. This study represents that the presence of compressive or/and rarefactive solitary waves depends mainly on the value of the first-order nonlinear coefficient. The structure of envelope wave is undefined for first-order nonlinear coefficient tends to vanish. The coexistence of the two types of solitary waves appears by increasing the strength of nonlinearity to the second order using the modified KdV equation.http://dx.doi.org/10.1155/2018/7935317 |
| spellingShingle | Abeer A. Mahmoud Essam M. Abulwafa Abd-alrahman F. Al-Araby Atalla M. Elhanbaly Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components Advances in Mathematical Physics |
| title | Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components |
| title_full | Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components |
| title_fullStr | Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components |
| title_full_unstemmed | Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components |
| title_short | Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components |
| title_sort | plasma parameters effects on dust acoustic solitary waves in dusty plasmas of four components |
| url | http://dx.doi.org/10.1155/2018/7935317 |
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