ON THE NOTION OF CONDITIONAL SYMMETRY OF DIFFERENTIAL EQUATIONS

DOI10.1142/S0129055X06002553zbMath1152.35302MaRDI QIDQ3521011

Giampaolo Cicogna, Michele Laino

Publication date: 26 August 2008

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

zbMATH Keywords

Boussinesq equationexact and partial symmetriesLie point-symmetries

Mathematics Subject Classification ID

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

Related Items (2)

Reduction of systems of first-order differential equations via \(\Lambda \)-symmetries ⋮ Addendum to: Symmetry classification of quasi-linear PDE's. II: An exceptional case

Cites Work

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• On the weak symmetry groups of partial differential equations
• Symmetry and explicit solutions of partial differential equations
• A precise definition of reduction of partial differential equations
• On the relation between weak and strong invariance of differential equations
• Higher conditional symmetry and reduction of initial value problems
• Symmetry and integration methods for differential equations
• Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations
• Evolution equations, invariant surface conditions and functional separation of variables
• Partial Lie-point symmetries of differential equations
• Non-classical symmetry reduction: example of the Boussinesq equation
• New similarity reductions of the Boussinesq equation
• Similarity reductions of partial differential equations
• Direct reduction and differential constraints
• Solutions of the nonlinear wave equation invariant under conditional symmetries
• Differential constraints and exact solutions of nonlinear diffusion equations
• Generalized symmetries in mechanics and field theories
• Weak transversality and partially invariant solutions
• Infinitesimal weak symmetries, of nonlinear differential equations in two independent variables

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