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Gencyigit, Mehmet, Şenol, Mehmet, Koksal, Mehmet. (1402). Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. سامانه مدیریت نشریات علمی, 11(3), 564-575. doi: 10.22034/cmde.2023.54758.2278
Mehmet Gencyigit; Mehmet Şenol; Mehmet Emir Koksal. "Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation". سامانه مدیریت نشریات علمی, 11, 3, 1402, 564-575. doi: 10.22034/cmde.2023.54758.2278
Gencyigit, Mehmet, Şenol, Mehmet, Koksal, Mehmet. (1402). 'Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation', سامانه مدیریت نشریات علمی, 11(3), pp. 564-575. doi: 10.22034/cmde.2023.54758.2278
Gencyigit, Mehmet, Şenol, Mehmet, Koksal, Mehmet. Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. سامانه مدیریت نشریات علمی, 1402; 11(3): 564-575. doi: 10.22034/cmde.2023.54758.2278

Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Computational Methods for Differential Equations
مقاله 9، دوره 11، شماره 3، شهریور 2023، صفحه 564-575    اصل مقاله (2.48 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.54758.2278
نویسندگان
Mehmet Gencyigit1؛ Mehmet Şenol* 1؛ Mehmet Emir Koksal2
1Nevsehir Hacı Bektas Veli University, Department of Mathematics, Nevsehir, Turkey.
2Ondokuz Mayıs University, Department of Mathematics, Atakum, Samsun, Turkey.
چکیده
This paper addresses the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation with fractional derivative definition. Initially, conformable derivative definitions and their features are presented. Then, by submitting exp({φ())-expansion, generalized (G′=G)-expansion, and Modified Kudryashov methods, exact solutions of this equation are generated. The 3D, contour, and 2D surfaces, as well as the related contour plot surfaces of some acquired data, are used to draw the physical aspect of the obtained findings. The physical meaning of the geometrical structures for some of these solutions is discussed. For the observation of the physical activities of the problem, achieved exact solutions are vital. The acquired results can help to demonstrate the physical application of the investigated models and other nonlinear physical models found in mathematical physics. Therefore, it would appear that these approaches might yield noteworthy results in producing the exact solutions to fractional differential equations in a wide range.
کلیدواژه‌ها
Modified Kudryashov method؛ Generalized (G′/G)-expansion method؛ Exp(-φ(ξ))-expansion method؛ Fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation؛ Conformable derivative
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