Nonclassical symmetries as special solutions of heir-equations

DOI10.1016/S0022-247X(02)00706-0zbMath1017.35011arXivnlin/0011008MaRDI QIDQ1874583

Maria Clara Nucci

Publication date: 25 May 2003

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

Full work available at URL: https://arxiv.org/abs/nlin/0011008

zbMATH Keywords

evolution equationpoint symmetrynonclassical symmetry

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (11)

Symmetry solutions for reaction-diffusion equations with spatially dependent diffusivity ⋮ Symmetry computation and reduction of a wave model in \(2+1\) dimensions ⋮ On new exact solutions of the generalized <scp>Fitzhugh–Nagumo</scp> equation with variable coefficients ⋮ Nonclassical symmetry analysis and heir-equations of forced Burger equation with time variable coefficients ⋮ Nonclassical symmetries of evolutionary partial differential equations and compatibility. ⋮ On the derivation of nonclassical symmetries of the Black-Scholes equation via an equivalence transformation ⋮ Group-theoretical analysis of variable coefficient nonlinear telegraph equations ⋮ Group properties of generalized quasi-linear wave equations ⋮ A Note on the Equivalence of Methods to finding Nonclassical Determining Equations ⋮ Group Analysis and Heir-Equations for Thin Liquid Films ⋮ Nonclassical Symmetries for a Class of Reaction-Diffusion Equations: the Method of Heir-Equations

Uses Software

• REDUCE

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