Propagation of periodic wave trains along the magnetic field in a collision-free plasma
In this work, a systematic study, examining the propagation of periodic and solitary waves along the magnetic field in a cold collision-free plasma, is presented. Employing the quasi-neutral approximation and the conservation of momentum flux and energy flux in the frame co-traveling with the wave,...
| Main Authors: | , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
IOP Publishing
2020
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| _version_ | 1797081178614792192 |
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| author | Abbas, G Kevrekidis, PG Allen, JE Koukouloyannis, V Frantzeskakis, DJ Karachalios, N |
| author_facet | Abbas, G Kevrekidis, PG Allen, JE Koukouloyannis, V Frantzeskakis, DJ Karachalios, N |
| author_sort | Abbas, G |
| collection | OXFORD |
| description | In this work, a systematic study, examining the propagation of periodic and solitary waves along the magnetic field in a cold collision-free plasma, is presented. Employing the quasi-neutral approximation and the conservation of momentum flux and energy flux in the frame co-traveling with the wave, the exact analytical solution of the stationary solitary pulse is found analytically in terms of particle densities, parallel and transverse velocities, as well as transverse magnetic fields. Subsequently, this solution is generalized in the form of periodic waveforms represented by cnoidal-type waves. These considerations are fully analytical in the case where the total angular momentum flux L, due to the ion and electron motion together with the contribution due to the Maxwell stresses, vanishes. A graphical representation of all associated fields is also provided. |
| first_indexed | 2024-03-07T01:10:53Z |
| format | Journal article |
| id | oxford-uuid:8cf569ae-7ba8-4e9e-a14e-1f80e9e9be19 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:10:53Z |
| publishDate | 2020 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:8cf569ae-7ba8-4e9e-a14e-1f80e9e9be192022-03-26T22:48:06ZPropagation of periodic wave trains along the magnetic field in a collision-free plasmaJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8cf569ae-7ba8-4e9e-a14e-1f80e9e9be19EnglishSymplectic ElementsIOP Publishing2020Abbas, GKevrekidis, PGAllen, JEKoukouloyannis, VFrantzeskakis, DJKarachalios, NIn this work, a systematic study, examining the propagation of periodic and solitary waves along the magnetic field in a cold collision-free plasma, is presented. Employing the quasi-neutral approximation and the conservation of momentum flux and energy flux in the frame co-traveling with the wave, the exact analytical solution of the stationary solitary pulse is found analytically in terms of particle densities, parallel and transverse velocities, as well as transverse magnetic fields. Subsequently, this solution is generalized in the form of periodic waveforms represented by cnoidal-type waves. These considerations are fully analytical in the case where the total angular momentum flux L, due to the ion and electron motion together with the contribution due to the Maxwell stresses, vanishes. A graphical representation of all associated fields is also provided. |
| spellingShingle | Abbas, G Kevrekidis, PG Allen, JE Koukouloyannis, V Frantzeskakis, DJ Karachalios, N Propagation of periodic wave trains along the magnetic field in a collision-free plasma |
| title | Propagation of periodic wave trains along the magnetic field in a collision-free plasma |
| title_full | Propagation of periodic wave trains along the magnetic field in a collision-free plasma |
| title_fullStr | Propagation of periodic wave trains along the magnetic field in a collision-free plasma |
| title_full_unstemmed | Propagation of periodic wave trains along the magnetic field in a collision-free plasma |
| title_short | Propagation of periodic wave trains along the magnetic field in a collision-free plasma |
| title_sort | propagation of periodic wave trains along the magnetic field in a collision free plasma |
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