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- Title
New (3+1)-dimensional conformable KdV equation and its analytical and numerical solutions.
- Authors
Şenol, Mehmet; Gençyiğit, Mehmet; Ntiamoah, Daniel; Akinyemi, Lanre
- Abstract
In this research, we used the Riccati equation approach to establish new exact solution sets for a new (3 + 1) -dimensional Korteweg–de Vries (KdV) equation, which is an enlarged version of the time-fractional Kadomtsev–Petviashvili equation. Additionally, using the Mathematica symbolic computation program, approximate solutions to the equation, applying the residual power series method (RPSM), have been obtained. A comparison table and various graphical representations have been presented to demonstrate the validity of the solutions. The numerical findings indicate the effectiveness of both approaches in finding exact and approximate solutions to nonlinear fractional differential equations.
- Subjects
SYMBOLIC computation; ANALYTICAL solutions; NONLINEAR differential equations; RICCATI equation; KADOMTSEV-Petviashvili equation; POWER series
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2024, Vol 38, Issue 4, p1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979224500565