期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 23, 期 1-3, 页码 153-163出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2014.11.010
关键词
Time-fractional Kompaneets equation; Symmetry; Nonlinear self-adjointness; Conservation law; Exact solution
类别
资金
- Government of Russian Federation [220, 11.G34.31.0042]
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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