Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 23, Issue 1-3, Pages 153-163Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2014.11.010
Keywords
Time-fractional Kompaneets equation; Symmetry; Nonlinear self-adjointness; Conservation law; Exact solution
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Funding
- Government of Russian Federation [220, 11.G34.31.0042]
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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.
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