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Optical soliton solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation

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

Department of Mechanical Engineering, Faculty of Engineering, Tehran North Branch, Islamic Azad University, Tehran, Iran

E-mail Address: P.jalili@aut.ac.ir

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H. Rezazadeh

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

E-mail Address: rezazadehadi1363@gmail.com

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B. Jalili

Department of Mechanical Engineering, Faculty of Engineering, Tehran North Branch, Islamic Azad University, Tehran, Iran

E-mail Address: B.jalili@aut.ac.ir

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D. D. Ganji

Department of Mechanical Engineering, Babol Noshirvani University of Technology, P. O. Box 484, Babol, Iran

E-mail Address: ddg_davood@yahoo.com

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Waleed Adel

Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt

E-mail Address: waleedadel85@gmail.com

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, and

A. Bekir

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

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

E-mail Address: bekirahmet@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0217979220501027Cited by:41 (Source: Crossref)

Abstract

In this work, a new method has been applied for finding solutions to the Kundu–Mukherjee–Naskar (KMN) equation in (2+1) dimensions. These optical solutions were derived with the aid of a new method named the Exp-Function method. The method is used for solving the nonlinear governing equation, which contains high nonlinear term. This method is considered as an alternative technique for obtaining both analytical and approximate solutions for a different type of PDE with several applications in science and engineering. The efficiency of the proposed technique has been shown by a few test problems. By comparing the results obtained in this paper with other researchers it can be noticed that this method is a promising technique for finding solutions to other similar problems.

Keywords:

PACS: 04.20.Jb, 05.45.Yv, 42.65.Tg

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