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Keywords = space–time fractional Bogoyavlenskii equation

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24 pages, 4522 KB  
Article
Describing Water Wave Propagation Using the GG2–Expansion Method
by Safoura Rezaei Aderyani, Reza Saadati, Donal O’Regan and Fehaid Salem Alshammari
Mathematics 2023, 11(1), 191; https://doi.org/10.3390/math11010191 - 29 Dec 2022
Cited by 5 | Viewed by 2129
Abstract
In the present study, our focus is to obtain the different analytical solutions to the space–time fractional Bogoyavlenskii equation in the sense of the Jumaries-modified Riemann–Liouville derivative and to the conformable time–fractional-modified nonlinear Schrödinger equation that describes the fluctuation of sea waves and [...] Read more.
In the present study, our focus is to obtain the different analytical solutions to the space–time fractional Bogoyavlenskii equation in the sense of the Jumaries-modified Riemann–Liouville derivative and to the conformable time–fractional-modified nonlinear Schrödinger equation that describes the fluctuation of sea waves and the propagation of water waves in ocean engineering, respectively. The GG2–expansion method is applied to investigate the dynamics of solitons in relation to governing models. Moreover, the restriction conditions for the existence of solutions are reported. In addition, we note that the accomplished solutions are useful to the description of wave fluctuation and the wave propagation survey and are also significant for experimental and numerical verification in ocean engineering. Full article
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