Propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equations
The Burgers equations involving quadratic, cubic, and both quadratic and cubic nonlinearity are derived by assuming the appropriate stretching to describe the propagation of electrostatic shock and oscillatory waves in a coupled complex plasma having Boltzmann-distributed electrons, hybrid Tsallis-n...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124000147 |
| _version_ | 1827316918790389760 |
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| author | M.N. Islam M.G. Hafez |
| author_facet | M.N. Islam M.G. Hafez |
| author_sort | M.N. Islam |
| collection | DOAJ |
| description | The Burgers equations involving quadratic, cubic, and both quadratic and cubic nonlinearity are derived by assuming the appropriate stretching to describe the propagation of electrostatic shock and oscillatory waves in a coupled complex plasma having Boltzmann-distributed electrons, hybrid Tsallis-nonthermal velocity distributed ions and negatively charged dust grains. In the long-wave approximation, the dynamics of shock wave excitations are governed by these equations with the presence of viscosity coefficient. The generalized Riccati equation mapping method is implemented to determine not only the shocks but also oscillatory waves of these obtained equations. The parametric effect on characteristic of shock waves and oscillatory waves (amplitude, thickness, polarity, etc.) is described. It is found that the plasma environment is supported both of shock and oscillatory waves with positive and negative polarity, and double layer based on some specific conditions. |
| first_indexed | 2024-03-08T12:30:14Z |
| format | Article |
| id | doaj.art-7428bd7a18114dc6a875bb31af14002c |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-24T23:23:50Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-7428bd7a18114dc6a875bb31af14002c2024-03-16T05:09:32ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-03-019100628Propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equationsM.N. Islam0M.G. Hafez1Department of Mathematics, Chittagong University of Engineering and Technology, Chattogram 4349, BangladeshCorresponding author.; Department of Mathematics, Chittagong University of Engineering and Technology, Chattogram 4349, BangladeshThe Burgers equations involving quadratic, cubic, and both quadratic and cubic nonlinearity are derived by assuming the appropriate stretching to describe the propagation of electrostatic shock and oscillatory waves in a coupled complex plasma having Boltzmann-distributed electrons, hybrid Tsallis-nonthermal velocity distributed ions and negatively charged dust grains. In the long-wave approximation, the dynamics of shock wave excitations are governed by these equations with the presence of viscosity coefficient. The generalized Riccati equation mapping method is implemented to determine not only the shocks but also oscillatory waves of these obtained equations. The parametric effect on characteristic of shock waves and oscillatory waves (amplitude, thickness, polarity, etc.) is described. It is found that the plasma environment is supported both of shock and oscillatory waves with positive and negative polarity, and double layer based on some specific conditions.http://www.sciencedirect.com/science/article/pii/S2666818124000147Nonlinear evolution equationsThe generalized Riccati equation mapping methodCoupled complex plasmaShock wavesOscillatory waves |
| spellingShingle | M.N. Islam M.G. Hafez Propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equations Partial Differential Equations in Applied Mathematics Nonlinear evolution equations The generalized Riccati equation mapping method Coupled complex plasma Shock waves Oscillatory waves |
| title | Propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equations |
| title_full | Propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equations |
| title_fullStr | Propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equations |
| title_full_unstemmed | Propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equations |
| title_short | Propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equations |
| title_sort | propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equations |
| topic | Nonlinear evolution equations The generalized Riccati equation mapping method Coupled complex plasma Shock waves Oscillatory waves |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124000147 |
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