M. R. Alharthi, Moazzma Inayat, Muhammad Abbas, Asnake Birhanu, Muhammad Zain Yousaf, Essam R. El-Zahar. "Dynamical study of optical soliton solutions to the Lakshmanan-Porsezian-Daniel equation by using $$\phi ^6$$-model expansion approach." Scientific Reports, 2026. doi:10.1038/s41598-026-47956-y