| dc.contributor.author | Sophocleous, Christodoulos | en |
| dc.creator | Sophocleous, Christodoulos | en |
| dc.date.accessioned | 2019-12-02T10:38:18Z | |
| dc.date.available | 2019-12-02T10:38:18Z | |
| dc.date.issued | 2004 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57632 | |
| dc.description.abstract | In this paper we consider the variable coefficient equation u t=b(t)uux+a(t)uxx which among other applications has considerable interest in nonlinear acoustics. We present transformation properties of this generalised equation. In particular, we classify the Lie classical symmetries, the nonclassical symmetries, the potential symmetries, point and potential form preserving transformations. Finally, using these transformations we give examples of exact solutions. © 2003 Elsevier Ltd. All rights reserved. | en |
| dc.source | Chaos, Solitons and Fractals | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0346094014&doi=10.1016%2fj.chaos.2003.09.024&partnerID=40&md5=a7f3ea479a513dc04d3bf5556314bfd7 | |
| dc.subject | Problem solving | en |
| dc.subject | Approximation theory | en |
| dc.subject | Mathematical transformations | en |
| dc.subject | Partial differential equations | en |
| dc.subject | Nonlinear equations | en |
| dc.subject | Viscous flow | en |
| dc.subject | Turbulence | en |
| dc.subject | Shock waves | en |
| dc.subject | Nonlinear acoustics | en |
| dc.subject | Nonlinear wave theory | en |
| dc.title | Transformation properties of a variable-coefficient Burgers equation | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1016/j.chaos.2003.09.024 | |
| dc.description.volume | 20 | |
| dc.description.issue | 5 | |
| dc.description.startingpage | 1047 | |
| dc.description.endingpage | 1057 | |
| 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 :18</p> | en |
| dc.source.abbreviation | Chaos Solitons Fractals | en |
| dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
| dc.gnosis.orcid | 0000-0001-8021-3548 | |
