dc.contributor.author | Ivanova, Nataliya M. | en |
dc.contributor.author | Sophocleous, Christodoulos | en |
dc.contributor.author | Tracinà, Rita | en |
dc.creator | Ivanova, Nataliya M. | en |
dc.creator | Sophocleous, Christodoulos | en |
dc.creator | Tracinà, Rita | en |
dc.date.accessioned | 2019-12-02T10:35:41Z | |
dc.date.available | 2019-12-02T10:35:41Z | |
dc.date.issued | 2010 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56962 | |
dc.description.abstract | The modern group analysis of differential equations is used to study a class of two-dimensional variable coefficient Burgers equations. The group classification of this class is performed. Equivalence transformations are also found that allow us to simplify the results of classification and to construct the basis of differential invariants and operators of invariant differentiation. Using equivalence transformations, reductions with respect to Lie symmetry operators and certain non-Lie ansätze, we construct exact analytical solutions for specific forms of the arbitrary elements. Finally, we classify the local conservation laws. © 2010 Birkhäuser Verlag Basel/Switzerland. | en |
dc.source | Zeitschrift fur Angewandte Mathematik und Physik | de |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-77957161417&doi=10.1007%2fs00033-009-0053-8&partnerID=40&md5=4c78dcc44c72519f7657325f187c0fbf | |
dc.subject | Differential equations | en |
dc.subject | Mathematical operators | en |
dc.subject | Exact solution | en |
dc.subject | Two dimensional | en |
dc.subject | Mechanical engineering | en |
dc.subject | Lie symmetries | en |
dc.subject | Burgers equation | en |
dc.subject | Burgers equations | en |
dc.subject | Exact solutions | en |
dc.subject | Differential invariants | en |
dc.subject | Conservation laws | en |
dc.title | Lie group analysis of two-dimensional variable-coefficient Burgers equation | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s00033-009-0053-8 | |
dc.description.volume | 61 | |
dc.description.issue | 5 | |
dc.description.startingpage | 793 | |
dc.description.endingpage | 809 | |
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 :5</p> | en |
dc.source.abbreviation | Z.Angew.Math.Phys. | en |
dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
dc.gnosis.orcid | 0000-0001-8021-3548 | |