Gencyigit, MehmetSenol, MehmetKurt, AliTasbozan, Orkun2024-09-182024-09-1820240219-88781793-6977https://doi.org/10.1142/S0219887824500816https://hdl.handle.net/20.500.12483/11212This paper addresses the new (3+1)-dimensional Mikhailov-Novikov-Wang (MNW) equation with arbitrary order derivative and presents novel exact solutions of it by implementing exp(-phi(xi))-expansion, modified Kudryashov, generalized (G '/G)-expansion, and modified extended tanh-function methods. This equation emphasizes significant connection between the integrability and water waves' phenomena. Employing the conformable derivative definition, a variety of soliton (bright, dark, anti-kink) solutions of the model are obtained. Therefore, it would appear that these approaches might yield noteworthy results in producing the exact solutions to the fractional differential equations in a wide range. In addition, 2D, 3D, and contour plots of the solutions are drawn for specific values to demonstrate the physical behaviors of the solutions.eninfo:eu-repo/semantics/closedAccessModified Kudryashov methodmodified extended tanh-function methodgeneralized (G '/G)-expansion methodexp(-phi(xi))-expansion methodfractional (3+1)-dimensional Mikhailov-Novikov-Wang equationconformable derivativeArticle21410.1142/S02198878245008162-s2.0-85180307751Q2WOS:001126184700001Q2