Retraction of: Scientific Reports https://doi.org/10.1038/s41598-023-31853-9, published online 22 March 2023


The Editors have retracted this Article.


After publication of this Article, concerns about similarities between this Article and a previous article with no common authors1 were reported to the Editors. Figures 13–16 each appear to have been previously published in the earlier paper1, and Figures 10–12 each report data that is very similar to data previously published in the earlier paper. Further review by the Editors also identified additional concerns regarding Figures 3–5, which each display three curves for four values of the parameter omega, and the insets of Figures 4 and 7, where the values of the labels are discrepant with the values of the main axes. The Editors no longer have confidence in the reliability of the findings and conclusions of this Article.


Assad Ayub, Syed Zahir Hussain Shah, Muahmmad Imran Asjad, and Musawa Yahya Almusawa disagree with the retraction. Magda Abd El-Rahman did not respond to the correspondence from the Editors about the retraction. Editors were not able to confirm the current contact details for Sayed M. Eldin.