Analysis of a conformable generalized geophysical KdV equation with Coriolis effect

In this manuscript, we study new solutions of generalized version of geophysical KdV equation which is called generalized perturbed KdV (gpKdV) under time–space conformable operator. We implement two methods to get some novel waves solution of the gpKdV equation. First, we use extended Tanh-method t...

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Bibliographic Details
Main Authors: Sayed Saifullah, Nahid Fatima, Shaimaa A. M. Abdelmohsen, Meznah M. Alanazi, Shabir Ahmad, Dumitru Baleanu
Format: Article
Language:English
Published: Elsevier 2023-07-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016823003411
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Summary:In this manuscript, we study new solutions of generalized version of geophysical KdV equation which is called generalized perturbed KdV (gpKdV) under time–space conformable operator. We implement two methods to get some novel waves solution of the gpKdV equation. First, we use extended Tanh-method to extract new solutions of considered equations in the form of trigonometric hyperbolic functions. To achieve Sine and Cosine hyperbolic solutions, we use generalized Kudryashov (GK) technique with Riccati equation. We show the behaviour of solutions via 2D and 3D figures. Also, we analyze the Corioles effect on the evolution of waves solutions of the considered equation.
ISSN:1110-0168