TY - JOUR
ID - 15970
TI - Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Gencyigit, Mehmet
AU - Şenol, Mehmet
AU - Koksal, Mehmet Emir
AD - Nevsehir Hacı Bektas Veli University, Department of Mathematics, Nevsehir, Turkey.
AD - Ondokuz Mayıs University, Department of Mathematics, Atakum, Samsun, Turkey.
Y1 - 2023
PY - 2023
VL - 11
IS - 3
SP - 564
EP - 575
KW - Modified Kudryashov method
KW - Generalized (G′/G)-expansion method
KW - Exp(-φ(ξ))-expansion method
KW - Fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
KW - Conformable derivative
DO - 10.22034/cmde.2023.54758.2278
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_15970.html
L1 - https://cmde.tabrizu.ac.ir/article_15970_7091cae4ce4f8734f0c8b1b1a84353ac.pdf
ER -