On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasma
In this paper, the propagation of acoustic solitons in an electron–positron (e–p) degenerate plasma with the relativistically degenerate electrons and positrons is studied. Moreover, we considered stationary positive ions for neutralizing the plasma background. Using the reductive perturbation metho...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723001924 |
| _version_ | 1797854546067718144 |
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| author | Alireza Abdikian Behzad Ghanbari |
| author_facet | Alireza Abdikian Behzad Ghanbari |
| author_sort | Alireza Abdikian |
| collection | DOAJ |
| description | In this paper, the propagation of acoustic solitons in an electron–positron (e–p) degenerate plasma with the relativistically degenerate electrons and positrons is studied. Moreover, we considered stationary positive ions for neutralizing the plasma background. Using the reductive perturbation method, we obtained a modified Korteweg–de Vries equation. By applying a Jacobi elliptic function expansion method, we have proposed the exact analytical solitary, kink, and periodic solutions for the nonlinear wave structures. Also, using the phase plane analysis three equilibrium points have been perceived two of them should be centers and the last is a saddle for quantum acoustic waves. The numerical and computational results show that firstly some of them should be discarded by physical values and then these solutions have been influenced by the plasma parameters such as the electron degenerate density parameter (ne0) and the ion-to-electron density ratio (δ) which peaked out in white dwarf stars. It is found that both the amplitude and the width of the nonlinear structures are affected by the mentioned parameters. This investigation is useful for the relativistically degenerate plasma media in ultra-dense astrophysical environments (such as neutron stars, white dwarfs, etc.), inertia fusion science, experiments involving the interaction of laser and solid density plasma, and inertial confinement fusion in which the relativistic effects play a major role. |
| first_indexed | 2024-04-09T20:07:47Z |
| format | Article |
| id | doaj.art-9b6351219ec04a97a750dacfd89e90c2 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-09T20:07:47Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-9b6351219ec04a97a750dacfd89e90c22023-04-01T08:48:18ZengElsevierResults in Physics2211-37972023-05-0148106399On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasmaAlireza Abdikian0Behzad Ghanbari1Department of Physics, Malayer University, Malayer, 65719-95863, Iran; Corresponding authors.Department of Mathematics, Kermanshah University of Technology, Kermanshah, Iran; Corresponding authors.In this paper, the propagation of acoustic solitons in an electron–positron (e–p) degenerate plasma with the relativistically degenerate electrons and positrons is studied. Moreover, we considered stationary positive ions for neutralizing the plasma background. Using the reductive perturbation method, we obtained a modified Korteweg–de Vries equation. By applying a Jacobi elliptic function expansion method, we have proposed the exact analytical solitary, kink, and periodic solutions for the nonlinear wave structures. Also, using the phase plane analysis three equilibrium points have been perceived two of them should be centers and the last is a saddle for quantum acoustic waves. The numerical and computational results show that firstly some of them should be discarded by physical values and then these solutions have been influenced by the plasma parameters such as the electron degenerate density parameter (ne0) and the ion-to-electron density ratio (δ) which peaked out in white dwarf stars. It is found that both the amplitude and the width of the nonlinear structures are affected by the mentioned parameters. This investigation is useful for the relativistically degenerate plasma media in ultra-dense astrophysical environments (such as neutron stars, white dwarfs, etc.), inertia fusion science, experiments involving the interaction of laser and solid density plasma, and inertial confinement fusion in which the relativistic effects play a major role.http://www.sciencedirect.com/science/article/pii/S2211379723001924Acoustic solitonselectron–positron plasmaThe relativistic degeneracy pressureJacobi elliptic function expansion methodThe phase plane analysis |
| spellingShingle | Alireza Abdikian Behzad Ghanbari On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasma Results in Physics Acoustic solitons electron–positron plasma The relativistic degeneracy pressure Jacobi elliptic function expansion method The phase plane analysis |
| title | On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasma |
| title_full | On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasma |
| title_fullStr | On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasma |
| title_full_unstemmed | On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasma |
| title_short | On a modified Korteweg–de Vries equation for electrostatic structures in relativistic degenerate electron–positron plasma |
| title_sort | on a modified korteweg de vries equation for electrostatic structures in relativistic degenerate electron positron plasma |
| topic | Acoustic solitons electron–positron plasma The relativistic degeneracy pressure Jacobi elliptic function expansion method The phase plane analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723001924 |
| work_keys_str_mv | AT alirezaabdikian onamodifiedkortewegdevriesequationforelectrostaticstructuresinrelativisticdegenerateelectronpositronplasma AT behzadghanbari onamodifiedkortewegdevriesequationforelectrostaticstructuresinrelativisticdegenerateelectronpositronplasma |