Similarity variables and reduction of the heat equation on torus

DOI10.1016/j.cnsns.2011.07.035zbMath1243.35075OpenAlexW2093526219MaRDI QIDQ430405

Adil Jhangeer, Imran Naeem

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.07.035

zbMATH Keywords

conjugacy classesLie algebraLie symmetriesgroup invariant solutions

Mathematics Subject Classification ID

Heat equation (35K05) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (2)

Comments on: ``Similarity variables and reduction of the heat equation on torus ⋮ Effect of background geometry on symmetries of the \((1+2)\)-dimensional heat equation and reductions of the TDGL model

Cites Work

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• Linear superposition principle applying to Hirota bilinear equations
• A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
• Symmetry analysis of wave equation on sphere
• Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

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