Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations

DOI10.1016/S0034-4877(10)00017-0zbMath1204.35146arXiv0905.2033OpenAlexW3100932619MaRDI QIDQ711211

Qing Huang, Renat Zhdanov, Chang-Zheng Qu

Publication date: 25 October 2010

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

Full work available at URL: https://arxiv.org/abs/0905.2033

zbMATH Keywords

Lie algebraLie groupquasi-local symmetry

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (5)

Lie group classification of the \(N\)-th-order nonlinear evolution equations ⋮ Group classification of linear fourth-order evolution equations ⋮ Group-theoretical analysis of variable coefficient nonlinear telegraph equations ⋮ Group classification of differential-difference equations: low-dimensional Lie algebras ⋮ Group-theoretical framework for potential symmetries of evolution equations

Cites Work

• Unnamed Item
• Unnamed Item
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• Evolution equations and Lagrangian coordinates
• Nonlocal symmetries. Heuristic approach
• Use and construction of potential symmetries
• Symmetry classification of third-order nonlinear evolution equations. I: Semi-simple algebras
• Group classification of the general evolution equation: local and quasilocal symmetries
• Group classification of nonlinear wave equations
• On relation between potential and contact symmetries of evolution equations
• Preliminary group classification of a class of fourth-order evolution equations
• Low-dimensional real Lie algebras
• New classes of symmetries for partial differential equations
• Invariants of real low dimension Lie algebras
• Thin Films with High Surface Tension
• Group classification of heat conductivity equations with a nonlinear source
• Symmetry classification of KdV-type nonlinear evolution equations
• Group classification of the general second-order evolution equation: semi-simple invariance groups
• On preliminary symmetry classification of nonlinear Schrödinger equations with some applications to Doebner-Goldin models
• The structure of Lie algebras and the classification problem for partial differential equations

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