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Journal of Applied Mechanics and Technical Physics

2014 year, number 2

Approximate Symmetries and Solutions of the Kompaneets Equation

R. K. Gazizov1, N. Kh. Ibragimov1,2
1Ufa State Aviation Technical University, Ufa, 450000 Russia
2Blekinge Institute of Technology, Karlskrona, SE-37179 Sweden
Keywords: Kompaneets equation, Compton effect, approximate symmetries approximate solutions

Abstract

Different approximations of the Kompaneets equation are studied using approximate symmetries, which allows consideration of the contributions of all terms of this equation previously neglected in the analysis of the limiting cases.