dc.contributor.author | Sophocleous, Christodoulos | en |
dc.creator | Sophocleous, Christodoulos | en |
dc.date.accessioned | 2019-12-02T10:38:17Z | |
dc.date.available | 2019-12-02T10:38:17Z | |
dc.date.issued | 2005 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57631 | |
dc.description.abstract | We consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form xput = [xqu nux]x. We present further transformation properties for this nonlinear class of equations that do not appear in the literature. In particular, we map this class of variable-coefficient into constant-coefficient evolution equations. We also introduce hodograph and generalised hodograph transformation. For a specific form of this class we derive an auto-hodograph transformation. New nonlocal symmetries known as potential symmetries are found. Finally, examples of exact solutions are given. © 2004 Elsevier 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-s2.0-9644307867&doi=10.1016%2fj.physa.2004.07.018&partnerID=40&md5=0821a23580942e2afbaca43b584374fd | |
dc.subject | Mathematical models | en |
dc.subject | Diffusion | en |
dc.subject | Mathematical transformations | en |
dc.subject | Nonlinear equations | en |
dc.subject | Molecular dynamics | en |
dc.subject | Heat conduction | en |
dc.subject | Form-preserving transformations | en |
dc.subject | Nonlinear diffusion equations | en |
dc.subject | Hodograph transformations | en |
dc.subject | Local and nonlocal symmetries | en |
dc.subject | Plasma theory | en |
dc.title | Further transformation properties of generalised inhomogeneous nonlinear diffusion equations with variable coefficients | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.physa.2004.07.018 | |
dc.description.volume | 345 | |
dc.description.issue | 3-4 | |
dc.description.startingpage | 457 | |
dc.description.endingpage | 471 | |
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 :19</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 | |