Reduction operators of linear second-order parabolic equations
From MaRDI portal
Publication:5387933
DOI10.1088/1751-8113/41/18/185202zbMath1145.35316arXiv0712.2764OpenAlexW2030408134MaRDI QIDQ5387933
Publication date: 27 May 2008
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.2764
Heat equation (35K05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Second-order parabolic equations (35K10)
Related Items (13)
GEOMETRIC INVESTIGATION OF NONLINEAR REACTION-DIFFUSION-CONVECTION EQUATIONS: FISHER EQUATION AND ITS EXTENSIONS ⋮ Classification of reduction operators and exact solutions of variable coefficient Newell-Whitehead-Segel equations ⋮ Extended symmetry analysis of generalized Burgers equations ⋮ Point and generalized symmetries of the heat equation revisited ⋮ On reducing and finding solutions of nonlinear evolutionary equations via generalized symmetry of ordinary differential equations ⋮ Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities ⋮ Reduction operators of Burgers equation ⋮ An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations ⋮ Group classification of linear evolution equations ⋮ Associate symmetries: a novel procedure for finding contact symmetries ⋮ Nonclassical Symmetries for a Class of Reaction-Diffusion Equations: the Method of Heir-Equations ⋮ Singular reduction modules of differential equations ⋮ A potential constraints method of finding nonclassical symmetry of PDEs based on Wu's method
This page was built for publication: Reduction operators of linear second-order parabolic equations