A new analytical approach to the (1+1)-dimensional conformable Fisher equation

Gülnur Yel; Miraç Kayhan; Armando Ciancio

doi:10.53391/mmnsa.2022.017

EN

A new analytical approach to the (1+1)-dimensional conformable Fisher equation

Abstract

In this paper, we use an effective method which is the rational sine-Gordon expansion method to present new wave simulations of a governing model. We consider the (1+1)-dimensional conformable Fisher equation which is used to describe the interactive relation between diffusion and reaction. Various types of solutions such as multi-soliton, kink, and anti-kink wave soliton solutions are obtained. Finally, the physical behaviours of the obtained solutions are shown by 3D, 2D, and contour surfaces.

Keywords

Rational sine-Gordon expansion method, conformable derivative, travelling wave solutions, (1+1)-dimensional Fisher equation

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Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Gülnur Yel
0000-0002-5134-4431
Türkiye

Miraç Kayhan This is me
0000-0003-1603-1891
Türkiye

Armando Ciancio This is me
0000-0002-2789-1961
Italy

Publication Date

December 30, 2022

Submission Date

August 18, 2022

Acceptance Date

December 24, 2022

Published in Issue

Year 2022 Volume: 2 Number: 4

DOI

https://doi.org/10.53391/mmnsa.2022.017

IZ

https://izlik.org/JA96JF79LA

APA

Yel, G., Kayhan, M., & Ciancio, A. (2022). A new analytical approach to the (1+1)-dimensional conformable Fisher equation. Mathematical Modelling and Numerical Simulation With Applications, 2(4), 211-220. https://doi.org/10.53391/mmnsa.2022.017

AMA

1.Yel G, Kayhan M, Ciancio A. A new analytical approach to the (1+1)-dimensional conformable Fisher equation. MMNSA. 2022;2(4):211-220. doi:10.53391/mmnsa.2022.017

Chicago

Yel, Gülnur, Miraç Kayhan, and Armando Ciancio. 2022. “A New Analytical Approach to the (1+1)-Dimensional Conformable Fisher Equation”. Mathematical Modelling and Numerical Simulation With Applications 2 (4): 211-20. https://doi.org/10.53391/mmnsa.2022.017.

EndNote

Yel G, Kayhan M, Ciancio A (December 1, 2022) A new analytical approach to the (1+1)-dimensional conformable Fisher equation. Mathematical Modelling and Numerical Simulation with Applications 2 4 211–220.

IEEE

[1]G. Yel, M. Kayhan, and A. Ciancio, “A new analytical approach to the (1+1)-dimensional conformable Fisher equation”, MMNSA, vol. 2, no. 4, pp. 211–220, Dec. 2022, doi: 10.53391/mmnsa.2022.017.

ISNAD

Yel, Gülnur - Kayhan, Miraç - Ciancio, Armando. “A New Analytical Approach to the (1+1)-Dimensional Conformable Fisher Equation”. Mathematical Modelling and Numerical Simulation with Applications 2/4 (December 1, 2022): 211-220. https://doi.org/10.53391/mmnsa.2022.017.

JAMA

1.Yel G, Kayhan M, Ciancio A. A new analytical approach to the (1+1)-dimensional conformable Fisher equation. MMNSA. 2022;2:211–220.

MLA

Yel, Gülnur, et al. “A New Analytical Approach to the (1+1)-Dimensional Conformable Fisher Equation”. Mathematical Modelling and Numerical Simulation With Applications, vol. 2, no. 4, Dec. 2022, pp. 211-20, doi:10.53391/mmnsa.2022.017.

Vancouver

1.Gülnur Yel, Miraç Kayhan, Armando Ciancio. A new analytical approach to the (1+1)-dimensional conformable Fisher equation. MMNSA. 2022 Dec. 1;2(4):211-20. doi:10.53391/mmnsa.2022.017