On the existence of nonclassical symmetries of partial differential equations
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Publication:4836828
DOI10.1063/1.531131zbMath0828.35112OpenAlexW1975216600MaRDI QIDQ4836828
A. Michel Grundland, Jacek Tafel
Publication date: 4 January 1996
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531131
Hamilton-Jacobi equationsErnst equationeikonal equationnonclassical symmetriesintegrability conditions
PDEs in connection with quantum mechanics (35Q40) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Related Items (8)
Nonclassical symmetries as special solutions of heir-equations ⋮ Simple waves and invariant solutions of quasilinear systems ⋮ Classification of reduction operators and exact solutions of variable coefficient Newell-Whitehead-Segel equations ⋮ Classical and nonclassical symmetries analysis for initial value problems ⋮ Group-theoretical analysis of variable coefficient nonlinear telegraph equations ⋮ Group properties of generalized quasi-linear wave equations ⋮ On Conditionally Invariant Solutions of Magnetohydrodynamic Equations. Multiple Waves. ⋮ Singular reduction modules of differential equations
Cites Work
- Reduction and quotient equations for differential equations with symmetries
- Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation
- On the Robinson theorem and shearfree geodesic null congruences
- On the weak symmetry groups of partial differential equations
- The construction of special solutions to partial differential equations
- Null field solutions of the wave equation and certain generalizations
- Non-classical symmetry reduction: example of the Boussinesq equation
- New similarity reductions of the Boussinesq equation
- Conformal geometry of flows in n dimensions
- Geometrical aspects of the system and applications to the nonlinear wave equation
- Group-Invariant Solutions of Differential Equations
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