All solutions of standard symmetric linear partial differential equations have classical Lie symmetry
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Publication:1295889
DOI10.1006/jmaa.1999.6331zbMath0932.35007OpenAlexW2049759213MaRDI QIDQ1295889
Philip Broadbridge, Daniel J. Arrigo
Publication date: 4 January 2000
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1999.6331
Invariance and symmetry properties for PDEs on manifolds (58J70) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Linear higher-order PDEs (35G05) Other special methods applied to PDEs (35A25)
Related Items (8)
On the determining equations for the nonclassical reductions of the heat and Burgers' equation ⋮ Global actions of Lie symmetries for the nonlinear heat equation ⋮ Euler-Bernoulli beams from a symmetry standpoint-characterization of equivalent equations ⋮ Umbral calculus, difference equations and the discrete Schrödinger equation ⋮ Nonlinear Galilei-invariant PDEs with infinite-dimensional Lie symmetry ⋮ The determining equations for the nonclassical method of the nonlinear differential equation(s) with arbitrary order can be obtained through the compatibility ⋮ Group classification of linear evolution equations ⋮ Nonclassical symmetries of a class of nonlinear partial differential equations with arbitrary order and compatibility
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Cites Work
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