New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation

Esin Aksoy; Adem Çevikel

doi:10.33187/jmsm.1149614

EN

New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation

Abstract

In this article, two methods are proposed to solve the fractional Cahn-Hilliard equation. This model describes the process of phase separation with nonlocal memory effects. Cahn-Hilliard equations have numerous applications in real-world scenarios, e.g., material sciences, cell biology, and image processing. Different types of solutions have been obtained. For this, the fractional complex transformation has been used to convert fractional differential equation to ordinary differential equation of integer order. As a result, these solutions are new solutions that do not exist in the literature.

Keywords

Conformable derivatives, Exact solution, Nonlinear water waves, Travelling wave solutions

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Esin Aksoy ^*
0000-0001-6386-4277
Türkiye

Adem Çevikel
0000-0002-7359-3156
Türkiye

Publication Date

August 31, 2022

Submission Date

July 27, 2022

Acceptance Date

August 15, 2022

Published in Issue

Year 2022 Volume: 5 Number: 2

DOI

https://doi.org/10.33187/jmsm.1149614

IZ

https://izlik.org/JA34SL24GT

APA

Aksoy, E., & Çevikel, A. (2022). New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation. Journal of Mathematical Sciences and Modelling, 5(2), 57-62. https://doi.org/10.33187/jmsm.1149614

AMA

1.Aksoy E, Çevikel A. New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation. Journal of Mathematical Sciences and Modelling. 2022;5(2):57-62. doi:10.33187/jmsm.1149614

Chicago

Aksoy, Esin, and Adem Çevikel. 2022. “New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation”. Journal of Mathematical Sciences and Modelling 5 (2): 57-62. https://doi.org/10.33187/jmsm.1149614.

EndNote

Aksoy E, Çevikel A (August 1, 2022) New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation. Journal of Mathematical Sciences and Modelling 5 2 57–62.

IEEE

[1]E. Aksoy and A. Çevikel, “New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation”, Journal of Mathematical Sciences and Modelling, vol. 5, no. 2, pp. 57–62, Aug. 2022, doi: 10.33187/jmsm.1149614.

ISNAD

Aksoy, Esin - Çevikel, Adem. “New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation”. Journal of Mathematical Sciences and Modelling 5/2 (August 1, 2022): 57-62. https://doi.org/10.33187/jmsm.1149614.

JAMA

1.Aksoy E, Çevikel A. New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation. Journal of Mathematical Sciences and Modelling. 2022;5:57–62.

MLA

Aksoy, Esin, and Adem Çevikel. “New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation”. Journal of Mathematical Sciences and Modelling, vol. 5, no. 2, Aug. 2022, pp. 57-62, doi:10.33187/jmsm.1149614.

Vancouver

1.Esin Aksoy, Adem Çevikel. New Travelling Wave Solutions of Conformable Cahn-Hilliard Equation. Journal of Mathematical Sciences and Modelling. 2022 Aug. 1;5(2):57-62. doi:10.33187/jmsm.1149614