| dc.contributor.author | Ibragimov, Nail Kh | en |
| dc.contributor.author | Sophocleous, Christodoulos | en |
| dc.creator | Ibragimov, Nail Kh | en |
| dc.creator | Sophocleous, Christodoulos | en |
| dc.date.accessioned | 2019-12-02T10:35:25Z | |
| dc.date.available | 2019-12-02T10:35:25Z | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56896 | |
| dc.description.abstract | We consider evolution equations of the form ut = f(x, u, ux)uxx + g(x, u, ux) and ut = uxx + g(x, u, ux). In the spirit of the recent work of Ibragimov [Ibragimov NH. Laplace type invariants for parabolic equations. Nonlinear Dynam 2002 | en |
| dc.description.abstract | 28:125-33] who adopted the infinitesimal method for calculating invariants of families of differential equations using the equivalence groups, we apply the method to these equations. We show that the first class admits one differential invariant of order two, while the second class admits three functional independent differential invariants of order three. We use these invariants to determine equations that can be transformed into the linear diffusion equation. © 2006 Elsevier B.V. All rights reserved. | en |
| dc.source | Communications in Nonlinear Science and Numerical Simulation | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-34047099727&doi=10.1016%2fj.cnsns.2005.12.010&partnerID=40&md5=9c7c32914113d2e467cf8e0d25391c22 | |
| dc.subject | Computer simulation | en |
| dc.subject | Differential equations | en |
| dc.subject | Diffusion | en |
| dc.subject | Mathematical transformations | en |
| dc.subject | Linear equations | en |
| dc.subject | Invariance | en |
| dc.subject | Differential invariants | en |
| dc.subject | Diffusion equation | en |
| dc.subject | Equivalence group | en |
| dc.subject | Evolution equation | en |
| dc.subject | Infinitesimal method | en |
| dc.title | Differential invariants of the one-dimensional quasi-linear second-order evolution equation | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1016/j.cnsns.2005.12.010 | |
| dc.description.volume | 12 | |
| dc.description.issue | 7 | |
| dc.description.startingpage | 1133 | |
| dc.description.endingpage | 1145 | |
| 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 :10</p> | en |
| dc.source.abbreviation | Comm.Nonlinear Sci.Numer.Simul. | en |
| dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
| dc.gnosis.orcid | 0000-0001-8021-3548 | |
