On relation between potential and contact symmetries of evolution equations

DOI10.1063/1.3138147zbMath1187.35026OpenAlexW2067528157MaRDI QIDQ3565290

Renat Zhdanov

Publication date: 3 June 2010

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

Full work available at URL: https://doi.org/10.1063/1.3138147

zbMATH Keywords

conservation lawsLie groupspartial differential equations

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (6)

Symmetry of stochastic non-variational differential equations ⋮ Nonlocal symmetries of systems of evolution equations ⋮ Nonlocal symmetries of evolution equations ⋮ Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations ⋮ Group classification of nonlinear evolution equations: semi-simple groups of contact transformations ⋮ Group-theoretical framework for potential symmetries of evolution equations

Cites Work

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• Nonlocal symmetries. Heuristic approach
• Use and construction of potential symmetries
• New classes of symmetries for partial differential equations
• On the symmetries of evolution equations
• Potential symmetries and direct reduction methods of order two
• Contact symmetries and solutions by reduction of partial differential equations
• Potential symmetries and solutions by reduction of partial differential equations
• Conditional Lie-Backlund symmetry and reduction of evolution equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• The existence of contact transformations for evolution-type 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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