journal article·2021-06-01Open access

The solitary wave solutions to the Klein–Gordon–Zakharov equations by extended rational methods

Shao-Wen Yao, Sayyed Masood Zekavatmand, Hadi Rezazadeh, Javad Vahidi, Mohammad Bagher Ghaemi, Mustafa Inc

AIP Advances· Volume 11· Issue 6

Abstract

In this paper, using the extended rational sine–cosine and rational sinh–cosh methods, we find new soliton solutions for the Klein–Gordon–Zakharov equations. The extended rational sine–cosine and rational sinh–cosh methods are prospering in finding soliton solutions of the Klein–Gordon–Zakharov equations. By means of these methods, we found some young solitons of the above mentioned equation. The conclusions we receive are dark, bright, and periodic. In addition, in order to imagine the underlying dynamics of the obtained soliton solutions, 2D and 3D plots are drawn.
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Research context

OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Fractional Differential Equations Solutions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Mathematics and Information Science, Henan Polytechnic University 1 , Jiaozuo 454000, China

Department of Applied Mathematics, Iran University of Science and Technology 2 , 16846 Tehran, Iran

Faculty of Engineering Technology, Amol University of Special Modern Technologies 3 , 46131 Amol, Iran

Department of Mathematical Sciences, University of South Africa 4 , Pretoria 0002, South Africa

Department of Computer Engineering, Biruni University 5 , 34025 Istanbul, Turkey

Department of Mathematics, Science Faculty, Firat University 6 , 23119 Elazig, Turkey

Department of Medical Research, China Medical University Hospital, China Medical University 7 , Taichung 40402, Taiwan

Funding

Henan Polytechnic University

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