{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,26]],"date-time":"2025-12-26T08:31:38Z","timestamp":1766737898369,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,26]],"date-time":"2022-01-26T00:00:00Z","timestamp":1643155200000},"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>The Fokas\u2013Lenells equation and its multi-component coupled forms have attracted the attention of many mathematical physicists. The Fokas\u2013Lenells equation and two coupled Fokas\u2013Lenells equations are investigated from the perspective of Lie symmetries and conservation laws. The three systems have been turned into real multi-component coupled systems by appropriate transformations. By procedures of symmetry analysis, Lie symmetries of the three real systems are obtained. Explicit conservation laws are constructed using the symmetry\/adjoint symmetry pair method, which depends on Lie symmetries and adjoint symmetries. The relationships between the multiplier and the adjoint symmetry are investigated.<\/jats:p>","DOI":"10.3390\/sym14020238","type":"journal-article","created":{"date-parts":[[2022,1,26]],"date-time":"2022-01-26T03:33:32Z","timestamp":1643168012000},"page":"238","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Lie Symmetries and Conservation Laws of Fokas\u2013Lenells Equation and Two Coupled Fokas\u2013Lenells Equations by the Symmetry\/Adjoint Symmetry Pair Method"],"prefix":"10.3390","volume":"14","author":[{"given":"Lihua","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China"}]},{"given":"Gangwei","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China"}]},{"given":"Qianqian","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China"}]},{"given":"Lingshu","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Olver, P.J. 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