Lie group classification of the nonlinear generalized Kompaneets equations with two functional parameters

DOI10.1063/1.4997557zbMath1375.35020OpenAlexW2743487429WikidataQ115333110 ScholiaQ115333110MaRDI QIDQ5357542

Sergii Kovalenko, Oleksii Patsiuk

Publication date: 11 September 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4997557

zbMATH Keywords

exact solutionsLie-Ovsiannikov algorithm

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Radiative transfer in astronomy and astrophysics (85A25) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group classification of the equations of two-dimensional motions of a gas
• Some symmetries of the nonlinear heat and wave equations
• The linear Kompaneets equation
• Classical symmetry reductions of nonlinear diffusion-convection equations
• Nonclassical analysis of the nonlinear Kompaneets equation
• Time-dependent exact solutions of the nonlinear Kompaneets equation
• New results on group classification of nonlinear diffusion–convection equations
• On form-preserving point transformations of partial differential equations
• Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)
• Lie group classification and invariant exact solutions of the generalized Kompaneets equations

This page was built for publication: Lie group classification of the nonlinear generalized Kompaneets equations with two functional parameters