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 | 2003 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57635 | |
dc.description.abstract | We consider the class of generalised nonlinear diffusion equations f(x)ut = [g(x)unux]x which are of considerable interest in mathematical physics. We classify the nonlocal symmetries, which are known as potential symmetries, for these equations. It turns out that potential symmetries exist only if the parameter n takes the values -2 or -2/3. Also certain relations must be satisfied by the functions f(x) and g(x). For the cases where we obtain infinite-parameter potential symmetries, linearising mappings are constructed. Furthermore we employ the potential symmetries to derive similarity solutions. © 2002 Elsevier Science B.V. All rights reserved. | en |
dc.source | Physica A: Statistical Mechanics and its Applications | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0037445340&doi=10.1016%2fS0378-4371%2802%2901591-1&partnerID=40&md5=f7c52fee7a801b230375b54b7d4ef0ec | |
dc.subject | Diffusion | en |
dc.subject | Mathematical transformations | en |
dc.subject | Nonlinear equations | en |
dc.subject | Linearization | en |
dc.subject | Metallurgy | en |
dc.subject | Mathematical physics | en |
dc.subject | Similarity solutions | en |
dc.subject | Nonlinear diffusion equations | en |
dc.subject | Linearisation | en |
dc.subject | Nonlocal symmetries | en |
dc.title | Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/S0378-4371(02)01591-1 | |
dc.description.volume | 320 | |
dc.description.startingpage | 169 | |
dc.description.endingpage | 183 | |
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 :26</p> | en |
dc.source.abbreviation | Phys A Stat Mech Appl | en |
dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
dc.gnosis.orcid | 0000-0001-8021-3548 | |