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Deeper investigations of the $(4 + 1)$ $(4 + 1)$ -dimensional Fokas and $(2 + 1)$ $(2 + 1)$ -dimensional Breaking soliton equations

Haci Mehmet Baskonus

http://orcid.org/0000-0003-4085-3625

Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey

E-mail Address: hmbaskonus@gmail.com

Corresponding author.

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Ajay Kumar

Department of Mathematics, H.N.B. Garhwal University (A Central University) Srinagar 246174, India

E-mail Address: kajay9249@gmail.com

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Ashok Kumar

Department of Mathematics, H.N.B. Garhwal University (A Central University) Srinagar 246174, India

E-mail Address: ashrsdma@gmail.com

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, and

Wei Gao

School of Information Science and Technology, Yunnan Normal University, Yunnan, P. R. China

E-mail Address: gaowei@ynnu.edu.cn

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https://doi.org/10.1142/S0217979220501520Cited by:11 (Source: Crossref)

Abstract

The main aim of this paper is to investigate the various dimensional nonlinear Fokas and Breaking soliton equations via a powerful analytical method, namely, sine-Gordon expansion method. Many new solutions such as complex combined dark-bright soliton solutions, singular and hyperbolic functions are derived. Choosing the suitable values of these parameters, various novel simulations are also plotted. Such results explain the wave behavior of the governing models, physically.

Keywords:

PACS: 02.90.+p, 02.30.Jr, 02.30.Hq

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