Group classification of linear fourth-order evolution equations

DOI10.1016/S0034-4877(12)60049-4zbMath1267.35019OpenAlexW2039207870MaRDI QIDQ1942976

Qing Huang, Renat Zhdanov, Chang-Zheng Qu

Publication date: 14 March 2013

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(12)60049-4

zbMATH Keywords

equivalence transformationfinite-dimensional Lie group

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Linear higher-order PDEs (35G05) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (6)

Group classification and conservation laws of a class of hyperbolic equations ⋮ Linearizability for third order evolution equations ⋮ Group analysis of general Burgers–Korteweg–de Vries equations ⋮ Group classification and exact solutions of a class of nonlinear waves ⋮ Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations ⋮ Group classification of linear evolution equations

Cites Work

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• Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations
• Equivalence transformations and symmetries for a heat conduction model
• Preliminary group classification of a class of fourth-order evolution equations
• Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)
• A simple method for group analysis and its application to a model of detonation
• Group classification of heat conductivity equations with a nonlinear source
• APPROXIMATE SYMMETRIES
• Symmetry classification of KdV-type nonlinear evolution equations
• A group analysis approach for a nonlinear differential system arising in diffusion phenomena
• The structure of Lie algebras and the classification problem for partial differential equations

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