Soliton solutions of the (3 + 1)-dimensional Yu–Toda–Sassa–Fukuyama equation by the new approach and its numerical solutions-Reference-Cited by-同舟云学术

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

Published:2020-12-17 Issue:02 Volume:35 Page:2150025
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Bekir Ahmet¹^ORCID,Zahran Emad H. M.²,Güner Özkan³

Affiliation:

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

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

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

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).

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979221500259

Reference23 articles.

1. A sub-equation method for solving the cubic–quartic NLSE with the Kerr law nonlinearity

2. Optical solitons for the two forms of Biswas–Arshed equation

3. Explicit solutions of the (2 + 1)-dimensional Hirota–Maccari system arising in nonlinear optics

4. Soliton solutions in different classes for the Kaup–Newell model equation

5. New soliton solutions for resonant nonlinear Schrödinger’s equation having full nonlinearity

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