| dc.contributor.author | Sophocleous, Christodoulos | en |
| dc.contributor.author | Tracinà, Rita | en |
| dc.creator | Sophocleous, Christodoulos | en |
| dc.creator | Tracinà, Rita | en |
| dc.date.accessioned | 2019-12-02T10:38:22Z | |
| dc.date.available | 2019-12-02T10:38:22Z | |
| dc.date.issued | 2008 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57653 | |
| dc.description.abstract | In this paper, we consider the class of wave-type equations utt = f (x, t, u) uxx + g (x, t, u, ux, ut) and two special cases of it. We derive the equivalence transformations for these equations and using these transformations, we obtain differential invariants and invariant equations. We employ these invariants or/and invariant equations to classify all equations of this general class that can be mapped into a simple linear hyperbolic or into an elliptic equation. Additional applications are presented. © 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-s2.0-46749137957&doi=10.1016%2fj.amc.2008.01.033&partnerID=40&md5=ff9398a75968ce203d57981f1f78f9d9 | |
| dc.subject | Difference equations | en |
| dc.subject | Linear equations | en |
| dc.subject | Eigenvalues and eigenfunctions | en |
| dc.subject | Linearization | en |
| dc.subject | Wave equations | en |
| dc.subject | Equivalence transformations | en |
| dc.subject | differential invariants | en |
| dc.subject | Invariants | en |
| dc.subject | Mathematical morphology | en |
| dc.subject | Quasi-linear | en |
| dc.subject | Waves | en |
| dc.title | Differential invariants for quasi-linear and semi-linear wave-type equations | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1016/j.amc.2008.01.033 | |
| dc.description.volume | 202 | |
| dc.description.issue | 1 | |
| dc.description.startingpage | 216 | |
| dc.description.endingpage | 228 | |
| 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.source.abbreviation | Appl.Math.Comput. | en |
| dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
| dc.gnosis.orcid | 0000-0001-8021-3548 | |
