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Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
2015 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, Vol. 23, no 1-3, 153-163 p.Article in journal (Refereed) Published
Abstract [en]

Four time-fractional generalizations of the Kompaneets equation are considered. Group analysis is performed for physically relevant approximations. It is shown that all approximations have nontrivial symmetries and conservation laws. The symmetries are used for constructing group invariant solutions, whereas the conservation laws allow to find non-invariant exact solutions. (C) 2014 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
2015. Vol. 23, no 1-3, 153-163 p.
Keyword [en]
Time-fractional Kompaneets equation, Symmetry, Nonlinear self-adjointness, Conservation law, Exact solution
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:bth-705DOI: 10.1016/j.cnsns.2014.11.010ISI: 000349760900014OAI: oai:DiVA.org:bth-705DiVA: diva2:814203
Available from: 2015-05-26 Created: 2015-05-26 Last updated: 2015-09-17Bibliographically approved

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Ibragimov, N. H.
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