Group analysis of nonlinear fin equations

DOI10.1016/j.aml.2007.02.023zbMath1160.35320arXivmath-ph/0610006OpenAlexW2028828999MaRDI QIDQ958888

Andrew Gratien Johnpillai, Christodoulos Sophocleous, Roman O. Popovych, Olena O. Vaneeva

Publication date: 10 December 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0610006

zbMATH Keywords

equivalence transformationsnonclassical symmetriesLie symmetriesfin equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Thermal effects in solid mechanics (74F05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (12)

Submodels of model of nonlinear diffusion in the inhomogeneous medium involving absorption ⋮ Group classification of a class of equations arising in financial mathematics ⋮ Classical Lie point symmetry analysis of a steady nonlinear one-dimensional fin problem ⋮ Group classification, reductions and exact solutions of a class of higher order nonlinear degenerate parabolic equation ⋮ Comparison of exact solutions for heat transfer in extended surfaces of different geometries ⋮ A Lie symmetry classification of a nonlinear fin equation in cylindrical coordinates ⋮ On new conservation laws of fin equation ⋮ Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles ⋮ Group properties of generalized quasi-linear wave equations ⋮ Symmetry classification for the nonlinear heat conductivity equation ⋮ Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity ⋮ Nonlocal symmetries and explicit solutions of the AKNS system

Cites Work

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• Group classification of fin equation with variable thermal properties
• Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities
• On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
• Group classification of the equations of two-dimensional motions of a gas
• Conditional symmetry of a porous medium equation
• A note on a symmetry analysis and exact solutions of a nonlinear fin equation
• Similarity analysis of a nonlinear fin equation
• On invariant solutions of the equation of non-linear heat conduction with a source
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Generalization of the Equivalence Transformations
• The structure of Lie algebras and the classification problem for partial differential equations

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