Effect of background geometry on symmetries of the \((1+2)\)-dimensional heat equation and reductions of the TDGL model

DOI10.1007/s13370-012-0116-4zbMath1304.35036OpenAlexW2026246669MaRDI QIDQ467976

Adil Jhangeer

Publication date: 5 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-012-0116-4

zbMATH Keywords

group classificationfirst fundamental form (FFF)curved surfacesLie point symmetry generatorstime dependent Ginzburg-Landau equation

Mathematics Subject Classification ID

Heat equation (35K05) Symmetries, invariants, etc. in context of PDEs (35B06) Ginzburg-Landau equations (35Q56)

Cites Work

• Unnamed Item
• Unnamed Item
• Similarity variables and reduction of the heat equation on torus
• Conservation laws for heat equation on curved surfaces
• A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures
• Bergman-Vekua theory in differential form
• Symmetry reductions and exact solutions of a class of nonlinear heat equations
• Kinetics of phase ordering on curved surfaces
• Subalgebras of real three- and four-dimensional Lie algebras
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetries and differential equations

This page was built for publication: Effect of background geometry on symmetries of the \((1+2)\)-dimensional heat equation and reductions of the TDGL model