Preliminary group classification of a class of fourth-order evolution equations

DOI10.1063/1.3072916zbMath1202.35011OpenAlexW1967943080MaRDI QIDQ3650449

V. I. Lahno, Qing Huang, Renat Zhdanov, Chang-Zheng Qu

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3072916

zbMATH Keywords

symmetryLie groupswave equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (15)

Lie symmetries and group classification of a class of time fractional evolution systems ⋮ Group classifications, optimal systems, symmetry reductions and conservation law of the generalized fractional porous medium equation ⋮ Lie group classification of the \(N\)-th-order nonlinear evolution equations ⋮ Group analysis of general Burgers–Korteweg–de Vries equations ⋮ Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations ⋮ Group classification of linear fourth-order evolution equations ⋮ Group classification, symmetry reductions and exact solutions of the time-fractional generalized thin film equation with variable coefficients ⋮ Preliminary group classification of the boundary layer equations of a thermodependent fluid ⋮ Preliminary group classification of $(2+1)$-dimensional linear ultraparabolic Kolmogorov - Fokker - Planck equations ⋮ Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations ⋮ Group-theoretical analysis of variable coefficient nonlinear telegraph equations ⋮ Group classification of differential-difference equations: low-dimensional Lie algebras ⋮ Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations ⋮ Galilei symmetries of KdV-type nonlinear evolution equations ⋮ Group-theoretical framework for potential symmetries of evolution equations

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