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Soliton solutions of the (3 + 1)-dimensional Yu–Toda–Sassa–Fukuyama equation by the new approach and its numerical solutions

Ahmet Bekir

https://orcid.org/0000-0001-9394-4681

Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030 Eskisehir, Turkey

E-mail Address: bekirahmet@gmail.com

Corresponding author.

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Emad H. M. Zahran

Departments of Mathematical and Physical Engineering, Benha University, Faculty of Engineering Shubra, Egypt

E-mail Address: e_h_zahran@hotmail.com

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, and

Özkan Güner

Department of International Trade, Cankiri Karatekin University, Cankiri, Turkey

E-mail Address: ozkanguner@karatekin.edu.tr

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https://doi.org/10.1142/S0217979221500259Cited by:14 (Source: Crossref)

Abstract

In this paper, we will solve the (3 + 1)-dimensional Yu–Toda–Sassa–Fukuyama equation (YTSFE) which widely investigates the dynamics of solitons and nonlinear wave arising in a fluid dynamics, plasma physics and weakly dispersive media. The Paul-Painlevé approach (PPA) is used for the first time to achieve the soliton solutions of this equation. Furthermore, the numerical solutions of this equation have been proposed by using the variational iteration method (VIM).

Keywords:

PACS: 04.20.Jb, 05.45.Yv, 94.05.Fg

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