dc.contributor.author | Sophocleous, Christodoulos | en |
dc.creator | Sophocleous, Christodoulos | en |
dc.date.accessioned | 2019-12-02T10:38:19Z | |
dc.date.available | 2019-12-02T10:38:19Z | |
dc.date.issued | 2000 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57637 | |
dc.description.abstract | In this paper potential symmetries are sought of the inhomogeneous nonlinear diffusion equations ut = x1-M [xN-1 f(u)ux]x. The functional forms of f(u) that admit such symmetries are completely classified. A complete list is presented of the symmetries, which depend on the values of the parameters M and N. We give examples of similarity solutions using potential symmetries. In some cases, the potential symmetries enable us to convert non-invertible mappings of nonlinear partial differential equations to linear ones. | en |
dc.source | Bulletin of the Australian Mathematical Society | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0034195643&partnerID=40&md5=a433b8434f3537be2982a57ccb0407d9 | |
dc.title | Potential symmetries of inhomogeneous nonlinear diffusion equations | en |
dc.type | info:eu-repo/semantics/article | |
dc.description.volume | 61 | |
dc.description.issue | 3 | |
dc.description.startingpage | 507 | |
dc.description.endingpage | 521 | |
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 :11</p> | en |
dc.source.abbreviation | Bull.Aust.Math.Soc. | en |
dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
dc.gnosis.orcid | 0000-0001-8021-3548 | |