{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T16:59:53Z","timestamp":1773766793726,"version":"3.50.1"},"reference-count":36,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2017,2,21]],"date-time":"2017-02-21T00:00:00Z","timestamp":1487635200000},"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>In this work, we study the (2 + 1)-dimensional Zoomeron equation which is an extension of the famous (1 + 1)-dimensional Zoomeron equation that has been studied extensively in the literature. Using classical Lie point symmetries admitted by the equation, for the \ufb01rst time we develop an optimal system of one-dimensional subalgebras. Based on this optimal system, we obtain symmetry reductions and new group-invariant solutions. Again for the \ufb01rst time, we construct the conservation laws of the underlying equation using the multiplier method.<\/jats:p>","DOI":"10.3390\/sym9020027","type":"journal-article","created":{"date-parts":[[2017,2,22]],"date-time":"2017-02-22T11:40:52Z","timestamp":1487763652000},"page":"27","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":37,"title":["Symmetry Analysis and Conservation Laws of the Zoomeron Equation"],"prefix":"10.3390","volume":"9","author":[{"given":"Tanki","family":"Motsepa","sequence":"first","affiliation":[{"name":"International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Ma\ufb01keng Campus, Private Bag X 2046, Mmabatho 2735, South Africa"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1986-4859","authenticated-orcid":false,"given":"Chaudry","family":"Khalique","sequence":"additional","affiliation":[{"name":"International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Ma\ufb01keng Campus, Private Bag X 2046, Mmabatho 2735, South Africa"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8604-8272","authenticated-orcid":false,"given":"Maria","family":"Gandarias","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad de C\u00e1diz, P. O. Box 40, 11510 Puerto Real, C\u00e1diz, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,2,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1016\/j.amc.2004.08.006","article-title":"The Tanh and Sine-Cosine Method for Compact and Noncompact Solutions of Nonlinear Klein Gordon Equation","volume":"167","author":"Wazwaz","year":"2005","journal-title":"Appl. Math. Comput."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1016\/j.cnsns.2006.10.007","article-title":"The extended tanh method for the Zakharo-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms","volume":"13","author":"Wazwaz","year":"2008","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Ablowitz, M.J., and Clarkson, P.A. (1991). 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