The New Wave Structures to the Fractional Ion Sound and Langmuir Waves Equation in Plasma Physics
In this paper, we consider the fractional ion sound and Langmuir waves (FISALWs) equation. We apply the unified solver technique in order to extract some new solutions for the FISALWs equation. The fractional derivative is defined in the sense of a conformable fractional derivative. The proposed sol...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-04-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/5/227 |
| _version_ | 1797499757138018304 |
|---|---|
| author | Mahmoud A. E. Abdelrahman S. Z. Hassan R. A. Alomair D. M. Alsaleh |
| author_facet | Mahmoud A. E. Abdelrahman S. Z. Hassan R. A. Alomair D. M. Alsaleh |
| author_sort | Mahmoud A. E. Abdelrahman |
| collection | DOAJ |
| description | In this paper, we consider the fractional ion sound and Langmuir waves (FISALWs) equation. We apply the unified solver technique in order to extract some new solutions for the FISALWs equation. The fractional derivative is defined in the sense of a conformable fractional derivative. The proposed solver is based on He’s semi-inverse method and gives beneficial solutions in explicit form. The recital of the method is trustworthy and useful and gives new, more general exact solutions. The constraint conditions for the existence of valid soliton solutions are reported. The enforcement of the presented solutions might be especially interesting in the applications of plasma physics such as bursty waves in cusp regions, Langmuir turbulence, and solar wind. Finally, the proposed solver can be extended to many other models in new physics and applied science. |
| first_indexed | 2024-03-10T03:52:00Z |
| format | Article |
| id | doaj.art-312f007642764ed299862066807e87c0 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T03:52:00Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-312f007642764ed299862066807e87c02023-11-23T11:03:09ZengMDPI AGFractal and Fractional2504-31102022-04-016522710.3390/fractalfract6050227The New Wave Structures to the Fractional Ion Sound and Langmuir Waves Equation in Plasma PhysicsMahmoud A. E. Abdelrahman0S. Z. Hassan1R. A. Alomair2D. M. Alsaleh3Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah 42353, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail 35811, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail 35811, Saudi ArabiaDepartment of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, Dammam 34212, Saudi ArabiaIn this paper, we consider the fractional ion sound and Langmuir waves (FISALWs) equation. We apply the unified solver technique in order to extract some new solutions for the FISALWs equation. The fractional derivative is defined in the sense of a conformable fractional derivative. The proposed solver is based on He’s semi-inverse method and gives beneficial solutions in explicit form. The recital of the method is trustworthy and useful and gives new, more general exact solutions. The constraint conditions for the existence of valid soliton solutions are reported. The enforcement of the presented solutions might be especially interesting in the applications of plasma physics such as bursty waves in cusp regions, Langmuir turbulence, and solar wind. Finally, the proposed solver can be extended to many other models in new physics and applied science.https://www.mdpi.com/2504-3110/6/5/227fractional ion sound and Langmuir waves equationunified solverconformable derivativeHe’s variational method |
| spellingShingle | Mahmoud A. E. Abdelrahman S. Z. Hassan R. A. Alomair D. M. Alsaleh The New Wave Structures to the Fractional Ion Sound and Langmuir Waves Equation in Plasma Physics Fractal and Fractional fractional ion sound and Langmuir waves equation unified solver conformable derivative He’s variational method |
| title | The New Wave Structures to the Fractional Ion Sound and Langmuir Waves Equation in Plasma Physics |
| title_full | The New Wave Structures to the Fractional Ion Sound and Langmuir Waves Equation in Plasma Physics |
| title_fullStr | The New Wave Structures to the Fractional Ion Sound and Langmuir Waves Equation in Plasma Physics |
| title_full_unstemmed | The New Wave Structures to the Fractional Ion Sound and Langmuir Waves Equation in Plasma Physics |
| title_short | The New Wave Structures to the Fractional Ion Sound and Langmuir Waves Equation in Plasma Physics |
| title_sort | new wave structures to the fractional ion sound and langmuir waves equation in plasma physics |
| topic | fractional ion sound and Langmuir waves equation unified solver conformable derivative He’s variational method |
| url | https://www.mdpi.com/2504-3110/6/5/227 |
| work_keys_str_mv | AT mahmoudaeabdelrahman thenewwavestructurestothefractionalionsoundandlangmuirwavesequationinplasmaphysics AT szhassan thenewwavestructurestothefractionalionsoundandlangmuirwavesequationinplasmaphysics AT raalomair thenewwavestructurestothefractionalionsoundandlangmuirwavesequationinplasmaphysics AT dmalsaleh thenewwavestructurestothefractionalionsoundandlangmuirwavesequationinplasmaphysics AT mahmoudaeabdelrahman newwavestructurestothefractionalionsoundandlangmuirwavesequationinplasmaphysics AT szhassan newwavestructurestothefractionalionsoundandlangmuirwavesequationinplasmaphysics AT raalomair newwavestructurestothefractionalionsoundandlangmuirwavesequationinplasmaphysics AT dmalsaleh newwavestructurestothefractionalionsoundandlangmuirwavesequationinplasmaphysics |