Time-fractional electron-acoustic shocks in magnetoplasma with superthermal electrons
The linear and nonlinear characteristics of electron-acoustic (EA) shocks are examined in an electron–ion (EI) magnetoplasma containing superthermal electrons. A linear dispersion relation is determined by using magneto hydrodynamic (MHD) equations, revealing the excitations of electron-acoustic and...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-02-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822006408 |
| _version_ | 1811163537095000064 |
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| author | Khalid Khan Amir Ali Muhammad Irfan Obaid Algahtani |
| author_facet | Khalid Khan Amir Ali Muhammad Irfan Obaid Algahtani |
| author_sort | Khalid Khan |
| collection | DOAJ |
| description | The linear and nonlinear characteristics of electron-acoustic (EA) shocks are examined in an electron–ion (EI) magnetoplasma containing superthermal electrons. A linear dispersion relation is determined by using magneto hydrodynamic (MHD) equations, revealing the excitations of electron-acoustic and Langmuir modes. Employing the reduction perturbation (RP) method, a Korteweg-de Vries Burgers (KdVB) equation is derived that admits evaluation of the EA shocks. The latter has an effect on variations in the superthermality index (κe) and the streaming effect (vo). For the time fractional shock solutions, a time fractional KdVB equation is obtained by method of variation. The mathbbJ-transform decomposition method is also used to derive higher order shock wave solutions. The shock waves are significantly altered by the relevant plasma parameters. This study is important in understanding the coherent EA modes in superthermal magnetoplasmas, relevant to the magnetosphere, the ionosphere, as well as the laboratory facilities. |
| first_indexed | 2024-04-10T15:06:49Z |
| format | Article |
| id | doaj.art-caeea03efc284570bed6aa7d92336588 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-10T15:06:49Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-caeea03efc284570bed6aa7d923365882023-02-15T04:26:58ZengElsevierAlexandria Engineering Journal1110-01682023-02-0165531542Time-fractional electron-acoustic shocks in magnetoplasma with superthermal electronsKhalid Khan0Amir Ali1Muhammad Irfan2Obaid Algahtani3Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Khyber Pakhtunkhwa, PakistanDepartment of Physics, University of Malakand, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia; Corresponding author.The linear and nonlinear characteristics of electron-acoustic (EA) shocks are examined in an electron–ion (EI) magnetoplasma containing superthermal electrons. A linear dispersion relation is determined by using magneto hydrodynamic (MHD) equations, revealing the excitations of electron-acoustic and Langmuir modes. Employing the reduction perturbation (RP) method, a Korteweg-de Vries Burgers (KdVB) equation is derived that admits evaluation of the EA shocks. The latter has an effect on variations in the superthermality index (κe) and the streaming effect (vo). For the time fractional shock solutions, a time fractional KdVB equation is obtained by method of variation. The mathbbJ-transform decomposition method is also used to derive higher order shock wave solutions. The shock waves are significantly altered by the relevant plasma parameters. This study is important in understanding the coherent EA modes in superthermal magnetoplasmas, relevant to the magnetosphere, the ionosphere, as well as the laboratory facilities.http://www.sciencedirect.com/science/article/pii/S1110016822006408Magneto hydrodynamic equationsSuperthermal plasmaElectron acousticLangmuir waves |
| spellingShingle | Khalid Khan Amir Ali Muhammad Irfan Obaid Algahtani Time-fractional electron-acoustic shocks in magnetoplasma with superthermal electrons Alexandria Engineering Journal Magneto hydrodynamic equations Superthermal plasma Electron acoustic Langmuir waves |
| title | Time-fractional electron-acoustic shocks in magnetoplasma with superthermal electrons |
| title_full | Time-fractional electron-acoustic shocks in magnetoplasma with superthermal electrons |
| title_fullStr | Time-fractional electron-acoustic shocks in magnetoplasma with superthermal electrons |
| title_full_unstemmed | Time-fractional electron-acoustic shocks in magnetoplasma with superthermal electrons |
| title_short | Time-fractional electron-acoustic shocks in magnetoplasma with superthermal electrons |
| title_sort | time fractional electron acoustic shocks in magnetoplasma with superthermal electrons |
| topic | Magneto hydrodynamic equations Superthermal plasma Electron acoustic Langmuir waves |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822006408 |
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