Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas
Two-dimensional three-component plasma system consisting of nonextensive electrons, positrons, and relativistic thermal ions is considered. The well-known Kadomtsev-Petviashvili-Burgers and Kadomtsev-Petviashvili equations are derived to study the basic characteristics of small but finite amplitude...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/9352148 |
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| author | M. G. Hafez M. R. Talukder M. Hossain Ali |
| author_facet | M. G. Hafez M. R. Talukder M. Hossain Ali |
| author_sort | M. G. Hafez |
| collection | DOAJ |
| description | Two-dimensional three-component plasma system consisting of nonextensive electrons, positrons, and relativistic thermal ions is considered. The well-known Kadomtsev-Petviashvili-Burgers and Kadomtsev-Petviashvili equations are derived to study the basic characteristics of small but finite amplitude ion acoustic waves of the plasmas by using the reductive perturbation method. The influences of positron concentration, electron-positron and ion-electron temperature ratios, strength of electron and positrons nonextensivity, and relativistic streaming factor on the propagation of ion acoustic waves in the plasmas are investigated. It is revealed that the electrostatic compressive and rarefactive ion acoustic waves are obtained for superthermal electrons and positrons, but only compressive ion acoustic waves are found and the potential profiles become steeper in case of subthermal positrons and electrons. |
| format | Article |
| id | doaj-art-eb6a7e58cce94a9088df89e693aa46f3 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-eb6a7e58cce94a9088df89e693aa46f32025-02-03T05:52:49ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/93521489352148Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic PlasmasM. G. Hafez0M. R. Talukder1M. Hossain Ali2Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong 4349, BangladeshDepartment of Applied Physics and Electronic Engineering, University of Rajshahi, Rajshahi 6205, BangladeshDepartment of Applied Mathematics, University of Rajshahi, Rajshahi 6205, BangladeshTwo-dimensional three-component plasma system consisting of nonextensive electrons, positrons, and relativistic thermal ions is considered. The well-known Kadomtsev-Petviashvili-Burgers and Kadomtsev-Petviashvili equations are derived to study the basic characteristics of small but finite amplitude ion acoustic waves of the plasmas by using the reductive perturbation method. The influences of positron concentration, electron-positron and ion-electron temperature ratios, strength of electron and positrons nonextensivity, and relativistic streaming factor on the propagation of ion acoustic waves in the plasmas are investigated. It is revealed that the electrostatic compressive and rarefactive ion acoustic waves are obtained for superthermal electrons and positrons, but only compressive ion acoustic waves are found and the potential profiles become steeper in case of subthermal positrons and electrons.http://dx.doi.org/10.1155/2016/9352148 |
| spellingShingle | M. G. Hafez M. R. Talukder M. Hossain Ali Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas Advances in Mathematical Physics |
| title | Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas |
| title_full | Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas |
| title_fullStr | Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas |
| title_full_unstemmed | Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas |
| title_short | Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas |
| title_sort | two dimensional nonlinear propagation of ion acoustic waves through kpb and kp equations in weakly relativistic plasmas |
| url | http://dx.doi.org/10.1155/2016/9352148 |
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