Retraction Note: Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas
Sci Rep. 2025 Jan 21;15(1):2676.
doi: 10.1038/s41598-025-86472-3.
1 Department of Mathematics and Artificial Intelligence, Lyuliang University, Lüliang, China.
2 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. [email protected].
3 Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov Str., Lankaran, Azerbaijan. [email protected].
4 Department of Applied Sciences, Chitkara University Institute of Engineering and Technology, Chitkara University, Punjab, Rajpura, India. [email protected].
5 Department of Sustainable Finance, Plekhanov Russian University of Economics, 117997, Moscow, Russia.
6 Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin AbdulazizUniversity, Alkharj, 11942, Saudi Arabia.