Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations

R K Gazizov, Nail H Ibragimov,S Yu Lukashchuk

Communications in Nonlinear Science and Numerical Simulation（2015）

Cited 123|Views3

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Abstract

•Four time-fractional generalizations of the Kompaneets equation are proposed.•The nonlinear self-adjointness of these equations is established.•Conservation laws are constructed using symmetries.•Invariant and noninvariant exact solutions are obtained.

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Key words

Time-fractional Kompaneets equation,Symmetry,Nonlinear self-adjointness,Conservation law,Exact solution

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