Symmetry classification of third-order nonlinear evolution equations. I: Semi-simple algebras

DOI10.1007/s10440-012-9773-4zbMath1270.35028arXiv1010.0880OpenAlexW3104128185MaRDI QIDQ1947018

F. Güngör, V. I. Lahno, Peter Basarab-Horwath

Publication date: 11 April 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0880

zbMATH Keywords

solvable Lie algebrasequivalence groupsemi-simple Lie algebras

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (8)

Lie group analysis of a generalized Krichever-Novikov differential-difference equation ⋮ Linearizability for third order evolution equations ⋮ Abelian Lie symmetry algebras of two‐dimensional quasilinear evolution equations ⋮ Symmetry classification of third-order nonlinear evolution equations. I: Semi-simple algebras ⋮ Algebraic method for group classification of \((1+1)\)-dimensional linear Schrödinger equations ⋮ Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations ⋮ Galilei symmetries of KdV-type nonlinear evolution equations ⋮ Differential invariants for third-order evolution equations

Cites Work

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• Symmetry classification of third-order nonlinear evolution equations. I: Semi-simple algebras
• Solvable Lie algebras of dimension six
• Group classification of nonlinear wave equations
• Low-dimensional real Lie algebras
• On form-preserving point transformations of partial differential equations
• On point transformations of evolution equations
• Group classification of heat conductivity equations with a nonlinear source
• Symmetries of variable coefficient Korteweg–de Vries equations
• Symmetry classification of KdV-type nonlinear evolution equations
• Group classification of the general second-order evolution equation: semi-simple invariance groups
• The structure of Lie algebras and the classification problem for partial differential equations
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