{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T22:46:27Z","timestamp":1761864387376,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,24]],"date-time":"2022-01-24T00:00:00Z","timestamp":1642982400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper employs Lie symmetry analysis to recover cubic\u2013quartic optical soliton solutions to the Lakshmanan\u2013Porsezian\u2013Daniel model in birefringent fibers. The results are a sequel to the previously reported work on the same model in unpolarized fibers. Dark, singular, and straddled optical solitons that emerged from the scheme are presented.<\/jats:p>","DOI":"10.3390\/sym14020224","type":"journal-article","created":{"date-parts":[[2022,1,25]],"date-time":"2022-01-25T21:07:11Z","timestamp":1643144831000},"page":"224","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Cubic\u2013Quartic Optical Soliton Perturbation with Differential Group Delay for the Lakshmanan\u2013Porsezian\u2013Daniel Model by Lie Symmetry"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6883-7788","authenticated-orcid":false,"given":"Sachin","family":"Kumar","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151401, Punjab, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anjan","family":"Biswas","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia"},{"name":"Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia"},{"name":"Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201 Galati, Romania"},{"name":"Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa"},{"name":"Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yakup","family":"Y\u0131ld\u0131r\u0131m","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, 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