دورية أكاديمية
The weakly non‑linear waves propagation for Kelvin – Helmholtz instability in the magnetohydrodynamics fow impelled by fractional theory
| العنوان: | The weakly non‑linear waves propagation for Kelvin – Helmholtz instability in the magnetohydrodynamics fow impelled by fractional theory |
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| المؤلفون: | Faridi, Waqas Ali, Asjad, Muhammad Imran, Jhangeer, Adil, Yusuf, Abdullahi, Sulaiman, Tukur Abdulkadir |
| المساهمون: | Mühendislik ve Doğa Bilimleri Fakültesi |
| بيانات النشر: | Springer Nature |
| سنة النشر: | 2023 |
| المجموعة: | Biruni University Institutional Repository (DSpace@Biruni) |
| مصطلحات موضوعية: | New Direct Extended Algebraic Method, The Weakly Non-Linear Wave Propagation Theory With A Magnetic Feld, Traveling Wave Solutions, Fractional Diferentiation |
| الوصف: | The weakly nonlinear wave propagation that occurs in the presence of magnetic felds, in which energy is concentrated in a narrow band of wave-numbers in a dispersive and dissipative fuid. The main objective of this paper is to analyze the (2 + 1)−dimensional elliptic nonlinear Schrodinger equation under the infuence of three diferent fractional operators. The generalized fractional soliton solutions and propagation of magnetohydrodynamics fuid in sort of solition will be visualized. The Conformable, 훽 and M-truncated fractional operator applied to classical evolution Schrodinger equation. In order to get the analytical closed form solution, one of the generalized approach new extended direct algebraic method is utilized. The fractional nonlinear elliptic Schrodinger equation is developed in three diferent fractional sense. The similarity transformation technique converted the controlling fractional system to ordinary diferential equations. The fractional analytical solutions such as, plane solution, mixed hyperbolic solution, periodic and mixed periodic solutions, mixed trigonometric solution, trigonometric solution, shock solution, mixed shock singular solution, mixed singular solution, complex solitary shock solution, singular solution and shock wave solutions are obtained. The graphical 2-D and 3-D representation of the results is shown to express the propagation of fuid with the magnetic feld by assuming the appropriate values of the involved parameters. The graphical performance of the obtained solution at various settings of parametric values and fractional order reveals new perspectives and fascinating model phenomena. The attained outcomes have signifcant applications and have opened up innovative development areas for research across numerous scientifc felds. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0306-8919 1572-817X |
| العلاقة: | https://doi.org/10.1007/s11082-022-04410-3Test; Optical and Quantum Electronics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://hdl.handle.net/20.500.12445/2728Test; 55; 28 |
| DOI: | 10.1007/s11082-022-04410-3 |
| الإتاحة: | https://doi.org/20.500.12445/2728Test https://doi.org/10.1007/s11082-022-04410-3Test https://hdl.handle.net/20.500.12445/2728Test |
| حقوق: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.76B21289 |
| قاعدة البيانات: | BASE |
| تدمد: | 03068919 1572817X |
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| DOI: | 10.1007/s11082-022-04410-3 |