On symmetry reduction and invariant solutions to some nonlinear multidimensional heat equations

DOI10.1016/S0034-4877(00)88869-2zbMath0951.22004WikidataQ127391205 ScholiaQ127391205MaRDI QIDQ1573878

Leonid F. Barannyk, Beata Kloskowska

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

\(n\)-dimensional heat equations

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Partial differential equations on manifolds; differential operators (58J99) Parabolic equations and parabolic systems (35K99)

Cites Work

• Symmetry reduction of the Boussinesq equation to ordinary differential equations
• A constructive method for obtaining new exact solutions of nonlinear evolution equations
• Application of one constructive method for the construction of non-Lie solutions of nonlinear evolution equations
• Direct reduction and differential constraints
• NonLie Ansatzes for Nonlinear Heat Equations
• On the classification of subalgebras of the conformal algebra with respect to inner automorphisms
• On the Classification of Subalgebras of the Galilei Algebras
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