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Equivalence group of a fourth-order evolution equation unifying various non-linear models
Responsible organisation
2008 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, Vol. 13, no 2, 259-268 p.Article in journal (Refereed) Published
Abstract [en]

A fourth-order non-linear evolutionary partial differential equation containing several arbitrary functions of the dependent variable is considered. This equation arises as a generalization of various non-linear models describing a non-linear heat diffusion, the dynamics of thin liquid films, etc. Equivalence transformations give more flexibility to the unified model. We determine the generators of the equivalence group and use them for specifying certain types of arbitrary functions when the model equation has additional symmetries, and hence admits non-trivial group invariant solutions. (c) 2006 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
AMSTERDAM: ELSEVIER SCIENCE BV , 2008. Vol. 13, no 2, 259-268 p.
Keyword [en]
non-linear models, thin liquid films, equivalence transformations, theorem on projections
National Category
Mathematics
Identifiers
URN: urn:nbn:se:bth-8182DOI: 10.1016/j.cnsns.2005.12.011ISI: 000254601700004Local ID: oai:bth.se:forskinfo0D42D091FC5D5EB1C12575B00020E513OAI: oai:DiVA.org:bth-8182DiVA: diva2:835871
Available from: 2012-09-18 Created: 2009-05-08 Last updated: 2015-06-30Bibliographically approved

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