{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T07:33:10Z","timestamp":1768462390137,"version":"3.49.0"},"reference-count":52,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2018,4,20]],"date-time":"2018-04-20T00:00:00Z","timestamp":1524182400000},"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 review is devoted to search for Lie and Q-conditional (nonclassical) symmetries and exact solutions of a class of reaction-diffusion-convection equations with exponential nonlinearities. A complete Lie symmetry classification of the class is derived via two different algorithms in order to show that the result depends essentially on the type of equivalence transformations used for the classification. Moreover, a complete description of Q-conditional symmetries for PDEs from the class in question is also presented. It is shown that all the well-known results for reaction-diffusion equations with exponential nonlinearities follow as particular cases from the results derived for this class of reaction-diffusion-convection equations. The symmetries obtained for constructing exact solutions of the relevant equations are successfully applied. The exact solutions are compared with those found by means of different techniques. Finally, an application of the exact solutions for solving boundary-value problems arising in population dynamics is presented.<\/jats:p>","DOI":"10.3390\/sym10040123","type":"journal-article","created":{"date-parts":[[2018,4,23]],"date-time":"2018-04-23T04:29:17Z","timestamp":1524457757000},"page":"123","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Lie and Q-Conditional Symmetries of Reaction-Diffusion-Convection Equations with Exponential Nonlinearities and Their Application for Finding Exact Solutions"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1733-5240","authenticated-orcid":false,"given":"Roman","family":"Cherniha","sequence":"first","affiliation":[{"name":"Institute of Mathematics, National Academy of Science of Ukraine, 3, Tereshchenkivs\u2018ka Street, 01004 Kyiv, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4022-483X","authenticated-orcid":false,"given":"Mykola","family":"Serov","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Poltava National Technical Yuri Kondratyuk University, 24, Pershotravnevyi Prospekt, 36011 Poltava, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7433-5853","authenticated-orcid":false,"given":"Oleksii","family":"Pliukhin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Poltava National Technical Yuri Kondratyuk University, 24, Pershotravnevyi Prospekt, 36011 Poltava, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,4,20]]},"reference":[{"key":"ref_1","first-page":"5","article-title":"Recherches th\u00e9oriques sur l\u2019\u00e9coulement des nappes d\u2019eau infiltr\u00e9es dans le sol et sur d\u00e9bit de sources","volume":"10","author":"Boussinesq","year":"1904","journal-title":"J. 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