Effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma: A complex trapped K-dV burgers’ equation
Our research demonstrates that positive and negative ions, along with trapped electrons and positrons, propagate as small-amplitude electrostatic shock waves in a magnetized collisions-less plasma. The trapped Korteweg-de Vries Burger's (T-KdVB) equation was derived by the widely recognized sta...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-04-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379724003000 |
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| author | Balaram Pradhan Birbaishri Boro Manoj K. Deka Apul N. Dev Jalil Manafian Naief Alabed Alkader |
| author_facet | Balaram Pradhan Birbaishri Boro Manoj K. Deka Apul N. Dev Jalil Manafian Naief Alabed Alkader |
| author_sort | Balaram Pradhan |
| collection | DOAJ |
| description | Our research demonstrates that positive and negative ions, along with trapped electrons and positrons, propagate as small-amplitude electrostatic shock waves in a magnetized collisions-less plasma. The trapped Korteweg-de Vries Burger's (T-KdVB) equation was derived by the widely recognized standard reductive perturbation technique (RPT), employing two separate scales of standard coordinates. The study examines the impact of temperature ratio on the shock wave characteristics of positive and negative ions, as well as positrons with electrons. The analysis and discussion focus on the impacts of negative ion number densities, as well as the number densities of electrons and positrons. The T-KdVB equations are responsible for governing rarefactive shock waves. Additionally, it is important to acknowledge that nonlinearity and dissipation play a key role in controlling the amplitude of the shock. |
| first_indexed | 2024-04-24T10:57:38Z |
| format | Article |
| id | doaj.art-a26bd4b8f1e947949fdf6ddb579711b2 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-24T10:57:38Z |
| publishDate | 2024-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-a26bd4b8f1e947949fdf6ddb579711b22024-04-12T04:45:19ZengElsevierResults in Physics2211-37972024-04-0159107617Effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma: A complex trapped K-dV burgers’ equationBalaram Pradhan0Birbaishri Boro1Manoj K. Deka2Apul N. Dev3Jalil Manafian4Naief Alabed Alkader5Center for Data Science, Siksha ‘O’ Anusandhan (Deemed to be University), Khandagiri, Bhubneswar 751030, Odisha, IndiaDepartmet of Physics, Gauhati University, Guwahati 781014, Assam, IndiaDepartment of Radiography and Imaging Technology, Srimanta Sankaradeva University of Health Sciences, Guwahati 781032, IndiaCenter for Data Science, Siksha ‘O’ Anusandhan (Deemed to be University), Khandagiri, Bhubneswar 751030, Odisha, India; Corresponding authors at: Department of of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran (Jalil Manafian).Department of of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran; Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov str., Lankaran, Azerbaijan; Corresponding authors at: Department of of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran (Jalil Manafian).Department of Sustainable Finance, Plekhanov Russian University of Economics, 117997 Moscow, RussiaOur research demonstrates that positive and negative ions, along with trapped electrons and positrons, propagate as small-amplitude electrostatic shock waves in a magnetized collisions-less plasma. The trapped Korteweg-de Vries Burger's (T-KdVB) equation was derived by the widely recognized standard reductive perturbation technique (RPT), employing two separate scales of standard coordinates. The study examines the impact of temperature ratio on the shock wave characteristics of positive and negative ions, as well as positrons with electrons. The analysis and discussion focus on the impacts of negative ion number densities, as well as the number densities of electrons and positrons. The T-KdVB equations are responsible for governing rarefactive shock waves. Additionally, it is important to acknowledge that nonlinearity and dissipation play a key role in controlling the amplitude of the shock.http://www.sciencedirect.com/science/article/pii/S2211379724003000Magnetized plasmaTrapped electron and positrionT-KdVB eqautionReductive perturbation method (RPT)Shock wave |
| spellingShingle | Balaram Pradhan Birbaishri Boro Manoj K. Deka Apul N. Dev Jalil Manafian Naief Alabed Alkader Effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma: A complex trapped K-dV burgers’ equation Results in Physics Magnetized plasma Trapped electron and positrion T-KdVB eqaution Reductive perturbation method (RPT) Shock wave |
| title | Effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma: A complex trapped K-dV burgers’ equation |
| title_full | Effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma: A complex trapped K-dV burgers’ equation |
| title_fullStr | Effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma: A complex trapped K-dV burgers’ equation |
| title_full_unstemmed | Effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma: A complex trapped K-dV burgers’ equation |
| title_short | Effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma: A complex trapped K-dV burgers’ equation |
| title_sort | effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma a complex trapped k dv burgers equation |
| topic | Magnetized plasma Trapped electron and positrion T-KdVB eqaution Reductive perturbation method (RPT) Shock wave |
| url | http://www.sciencedirect.com/science/article/pii/S2211379724003000 |
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