Nonclassical symmetries of evolutionary partial differential equations and compatibility.

DOI10.1016/J.JMAA.2003.08.015zbMath1037.35066OpenAlexW2042633045MaRDI QIDQ1419762

Jon R. Beckham, Daniel J. Arrigo

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.015

zbMATH Keywords

Burgers' equationKdV equationCompatibilityDetermining equationsNonclassical symmetry

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (10)

Some Solutions of Generalised Variable Coefficients KdV Equation by Classical Lie Approach ⋮ Symmetry computation and reduction of a wave model in \(2+1\) dimensions ⋮ EXACT SOLUTIONS OF HYPERBOLIC REACTION-DIFFUSION EQUATIONS IN TWO DIMENSIONS ⋮ On a sequence of higher-order wave equations ⋮ Unnamed Item ⋮ Nonclassical Contact Symmetries and Charpit's Method of Compatibility ⋮ Classical and nonclassical Lie symmetry analysis to a class of nonlinear time-fractional differential equations ⋮ The determining equations for the nonclassical method of the nonlinear differential equation(s) with arbitrary order can be obtained through the compatibility ⋮ Symmetry groups of differential-difference equations and their compatibility ⋮ Nonclassical symmetries of a class of nonlinear partial differential equations with arbitrary order and compatibility

Cites Work

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• Nonlinear boundary value problems in science and engineering
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