The Functional Variable Method to Find New Exact Solutions of the Nonlinear Evolution Equations with Dual-Power-Law Nonlinearity-Reference-Cited by-同舟云学术

The Functional Variable Method to Find New Exact Solutions of the Nonlinear Evolution Equations with Dual-Power-Law Nonlinearity

Published:2020-05-09 Issue:3-4 Volume:21 Page:249-257
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Rezazadeh Hadi¹,Vahidi Javad²,Zafar Asim³,Bekir Ahmet⁴^ORCID

Affiliation:

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

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

3. Department of Mathematics , COMSATS University Islamabad, Vehari Campus , Vehari , Pakistan

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

Abstract

Abstract In this work, we established new travelling wave solutions for some nonlinear evolution equations with dual-power-law nonlinearity namely the Zakharov–Kuznetsov equation, the Benjamin–Bona–Mahony equation and the Korteweg–de Vries equation. The functional variable method was used to construct travelling wave solutions of nonlinear evolution equations with dual-power-law nonlinearity. The travelling wave solutions are expressed by generalized hyperbolic functions and the rational functions. This method presents a wider applicability for handling nonlinear wave equations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0064/pdf

Reference80 articles.

1. M. Eslami, F. S. Khodadad, F. Nazari and H. Rezazadeh, The first integral method applied to the Bogoyavlenskii equations by means of conformable fractional derivative, Opt. Quantum Electron. 49(12) (2017), 391.

2. H. Aminikhah, A. R. Sheikhani and H. Rezazadeh, Exact solutions for the fractional differential equations by using the first integral method, Nonlinear Eng. 4(1) (2015), 15–22.

3. M. Mirzazadeh and M. Eslami, Exact solutions of the Kudryashov-Sinelshchikov equation and nonlinear telegraph equation via the first integral method, Nonlinear Anal. Modell. Control. 17(4) (2012), 481–488.

4. M. Eslami, M. Mirzazadeh and A. Neirameh, New exact wave solutions for Hirota equation, Pramana. 84(1) (2015), 3–8.

5. Z.-Y. Zhang, J. Zhong, S. S. Dou, J. Liu, D. Peng and T. Gao, First integral method and exact solutions to nonlinear partial differential equations arising in mathematical physics, Rom. Rep. Phys. 65(4) (2013), 1155–1169.

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