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Title: | Novel solitary wave solutions to the fractional new (3 +1)-dimensional Mikhailov-Novikov-Wang equation | Authors: | Gençyiğit, M. Şenol, M. Kurt, A. Tasbozan, O. |
Keywords: | conformable derivative exp(−ϕ(ξ))-expansion method fractional (3 +1)-dimensional Mikhailov-Novikov-Wang equation generalized (G'/G)-expansion method modified extended tanh-function method Modified Kudryashov method |
Publisher: | World Scientific | Abstract: | This 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(−ϕ(ξ))-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. © 2023 World Scientific Publishing Co. Pte Ltd. All rights reserved. | URI: | https://doi.org/10.1142/S0219887824500816 https://hdl.handle.net/11499/56532 |
ISSN: | 0219-8878 |
Appears in Collections: | Fen Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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