Exact Solutions of M-fractional Complex Ginzburg-Landau Equation via Two Analytical Methods

Authors

• Nematollah Kadkhoda, Department of Mathematics, Faculty of Engineering Science, Quchan University of Technology, Quchan, IranFollow
• Mojtaba Baymani, Department of Mathematics, Faculty of Engineering Science, Quchan University of Technology, Quchan, IranFollow
• Maad M. Mijwil, College of Administration and Economics, Al-Iraqia University, Baghdad, IraqFollow
• Mostafa Abotaleb, School of Electronic Engineering and Computer Science, Department of System Programming, South Ural State University, 454080 Chelyabinsk, RussiaFollow

Abstract

This article investigates the M-fractional complex Ginzburg-Landau (CGL) equationby utilizing the modified simplest equation method and the modified G'G-expansion method. The CGL holds significant importance in the realm of oscillatory phenomena and optical fibers. By implementing a fractional complex transformation, the M-fractional CGL equation is transformed into an ordinary differential equation (ODE).By employing these methodologies, bright periodic solutions, periodic solutions, and dark wave solutions relevant to phenomena witnessed in nonlinear optics or plasma environments are ascertained.It is demonstrated that these methods are very powerful and efficient to solve many fractional differential equations.

Reason for Expression of Concern: The Editors wish to alert readers to potential concerns regarding the reliability of the findings reported in ``Exact Solutions of M-fractional Complex Ginzburg-Landau Equation via Two Analytical Methods (Manuscript 1267)''.
Exact Solutions of M-fractional...
The journal has initiated an additional editorial assessment of the article's methodology, data provenance, and reported outcomes to confirm their reliability and reproducibility.
This notice is issued to ensure transparency while the review is ongoing. The Expression of Concern does not constitute a final determination regarding the validity of the work. The journal will update readers once the assessment is completed and will take any necessary editorial action in accordance with the journal's policies and COPE guidance. See expression of concern available at:
DOI: https://doi.org/10.52866/2788-7421.1381.
Available at: http://ijcsm.researchcommons.org/ijcsm/vol7/iss1/35

We have found no evidence of misconduct or invalidity in the research. The gindings presented in the original article are considered robust and accurate. This notice formally resolves the previously published Expression of Concern. The original article stands as published, and we affirm the integrity of the research. See resolution of expression of concern available at:
DOI: https://doi.org/10.52866/2788-7421.1404
Available at: http://ijcsm.researchcommons.org/ijcsm/vol7/iss2/4
The publication timeline is as follows: Original Article → Expression of Concern → Resolution.

Recommended Citation

Kadkhoda, Nematollah; Baymani, Mojtaba; Mijwil, Maad M.; and Abotaleb, Mostafa (2025) "Exact Solutions of M-fractional Complex Ginzburg-Landau Equation via Two Analytical Methods," Iraqi Journal for Computer Science and Mathematics: Vol. 6: Iss. 3, Article 11.
DOI: https://doi.org/10.52866/2788-7421.1267
Available at: https://ijcsm.researchcommons.org/ijcsm/vol6/iss3/11