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dc.contributor.authorSophocleous, Christodoulosen
dc.creatorSophocleous, Christodoulosen
dc.date.accessioned2019-12-02T10:38:18Z
dc.date.available2019-12-02T10:38:18Z
dc.date.issued2003
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57634
dc.description.abstractWe consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form f(x)ut = [g(x)unux]x. We present a complete classification of Lie symmetries and form-preserving point transformations in the case where f(x) = 1 which is equivalent to the original equation. We also introduce certain nonlocal transformations. When f(x) = xp and g(x) = xq we have the most known form of this class of equations. If certain conditions are satisfied, then this latter equation can be transformed into a constant coefficient equation. It is also proved that the only equations from this class of partial differential equations that admit Lie-Bäcklund symmetries is the well-known nonlinear equation ut = [u-2ux]x and an equivalent equation. Finally, two examples of new exact solutions are given. © 2003 Elsevier Science B.V. All rights reserved.en
dc.sourcePhysica A: Statistical Mechanics and its Applicationsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-0038147094&doi=10.1016%2fS0378-4371%2803%2900063-3&partnerID=40&md5=2c47f0f03fe6307b3e744090ae3fb833
dc.subjectDiffusionen
dc.subjectMathematical transformationsen
dc.subjectPartial differential equationsen
dc.subjectNonlinear equationsen
dc.subjectForm-preserving transformationsen
dc.subjectNonlinear diffusion equationsen
dc.subjectLocal and nonlocal symmetriesen
dc.titleSymmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equationsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1016/S0378-4371(03)00063-3
dc.description.volume324
dc.description.issue3-4
dc.description.startingpage509
dc.description.endingpage529
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :21</p>en
dc.source.abbreviationPhys A Stat Mech Applen
dc.contributor.orcidSophocleous, Christodoulos [0000-0001-8021-3548]
dc.gnosis.orcid0000-0001-8021-3548


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