dc.contributor.author | Sophocleous, Christodoulos | en |
dc.creator | Sophocleous, Christodoulos | en |
dc.date.accessioned | 2019-12-02T10:38:18Z | |
dc.date.available | 2019-12-02T10:38:18Z | |
dc.date.issued | 2003 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57634 | |
dc.description.abstract | We 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.source | Physica A: Statistical Mechanics and its Applications | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0038147094&doi=10.1016%2fS0378-4371%2803%2900063-3&partnerID=40&md5=2c47f0f03fe6307b3e744090ae3fb833 | |
dc.subject | Diffusion | en |
dc.subject | Mathematical transformations | en |
dc.subject | Partial differential equations | en |
dc.subject | Nonlinear equations | en |
dc.subject | Form-preserving transformations | en |
dc.subject | Nonlinear diffusion equations | en |
dc.subject | Local and nonlocal symmetries | en |
dc.title | Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/S0378-4371(03)00063-3 | |
dc.description.volume | 324 | |
dc.description.issue | 3-4 | |
dc.description.startingpage | 509 | |
dc.description.endingpage | 529 | |
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 :21</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 | |