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Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för matematik och naturvetenskap.
2015 (engelsk)Inngår i: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, E-ISSN 1878-7274, Vol. 23, nr 1-3, s. 153-163Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2015. Vol. 23, nr 1-3, s. 153-163
Emneord [en]
Time-fractional Kompaneets equation, Symmetry, Nonlinear self-adjointness, Conservation law, Exact solution
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Identifikatorer
URN: urn:nbn:se:bth-705DOI: 10.1016/j.cnsns.2014.11.010ISI: 000349760900014OAI: oai:DiVA.org:bth-705DiVA, id: diva2:814203
Tilgjengelig fra: 2015-05-26 Laget: 2015-05-26 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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