Analytical solution of Kompaneets equation

• Published in: Advances in Astronomy and Space Physics
• Date: 2012
• Main Author: Karnaushenko, A.V.
• Format: Article
• Language: English
• Published: Головна астрономічна обсерваторія НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119149
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Analytical solution of Kompaneets equation / A.V. Karnaushenko // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 1. — С. 39-41. — Бібліогр.: 7 назв. — англ.

Analytical solution of Kompaneets equation, describing the movement of shock front from the strong point explosion in the medium with the density changing as the hyperbolic tangent, was obtained. Solution allows to restore all shock front and investigate its evolution for arbitrary values of the den...