Nonclassical symmetry reduction and Riemann wave solutions

DOI10.1006/jmaa.1996.0119zbMath0855.58062OpenAlexW2058882201MaRDI QIDQ1917999

A. Michel Grundland, Jacek Tafel

Publication date: 27 January 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0119

zbMATH Keywords

conditional symmetriesmultiple Riemann wavesnonclassical symmetry reduction

Mathematics Subject Classification ID

Wave equation (35L05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

An exact description of nonlinear wave interaction processes ruled by \(2\times 2\) hyperbolic systems ⋮ Solutions of first-order quasilinear systems expressed in Riemann invariants ⋮ Rank-\(k\) solutions of hydrodynamic-type systems ⋮ On Conditionally Invariant Solutions of Magnetohydrodynamic Equations. Multiple Waves. ⋮ Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems ⋮ Riemann Invariants and Rank-k Solutions of Hyperbolic Systems ⋮ Multimode solutions of first-order elliptic quasilinear systems

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