dc.contributor.author | Christou, Marios Andreas | en |
dc.contributor.author | Ivanova, Nataliya M. | en |
dc.contributor.author | Sophocleous, Christodoulos | en |
dc.creator | Christou, Marios Andreas | en |
dc.creator | Ivanova, Nataliya M. | en |
dc.creator | Sophocleous, Christodoulos | en |
dc.date.accessioned | 2019-12-02T10:34:33Z | |
dc.date.available | 2019-12-02T10:34:33Z | |
dc.date.issued | 2009 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56665 | |
dc.description.abstract | We consider the (1 + 3)-dimensional Burgers equation ut = uxx + uyy + uzz + uux which has considerable interest in mathematical physics. We complete the list of similarity reductions that are obtained from the Lie symmetries admitted by this equation. To achieve this goal we employ two- and three-dimensional subalgebras of the Lie symmetry algebra, in addition to the one-dimensional subalgebras that appears in the literature. We solve analytically, where it is possible, the reduced ordinary differential equations and hence, we obtain closed-form solutions for the original equation. Finally, we derive certain non-Lie solutions. © 2008 Elsevier Inc. All rights reserved. | en |
dc.source | Applied Mathematics and Computation | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-61649111934&doi=10.1016%2fj.amc.2008.11.032&partnerID=40&md5=301b15a5e7b9f13d630fbc1bb5ea4c4b | |
dc.subject | Algebra | en |
dc.subject | Three dimensional | en |
dc.subject | Closed-form solutions | en |
dc.subject | Mechanical engineering | en |
dc.subject | One-dimensional | en |
dc.subject | Ordinary differential equations | en |
dc.subject | Lie symmetries | en |
dc.subject | Burgers equation | en |
dc.subject | Lie and non-Lie solutions | en |
dc.subject | Mathematical physics | en |
dc.subject | Similarity reductions | en |
dc.subject | Subalgebras | en |
dc.title | Similarity reductions of the (1 + 3)-dimensional Burgers equation | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.amc.2008.11.032 | |
dc.description.volume | 210 | |
dc.description.issue | 1 | |
dc.description.startingpage | 87 | |
dc.description.endingpage | 99 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :3</p> | en |
dc.source.abbreviation | Appl.Math.Comput. | en |
dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
dc.gnosis.orcid | 0000-0001-8021-3548 | |