| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7155493 | Communications in Nonlinear Science and Numerical Simulation | 2015 | 20 Pages |
Abstract
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.
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Authors
R.K. Gazizov, N.H. Ibragimov, S.Yu. Lukashchuk,