Simple waves and invariant solutions of quasilinear systems

DOI10.1063/1.531549zbMath0865.35034OpenAlexW1970465230MaRDI QIDQ5284254

Philip W. Doyle, A. Michel Grundland

Publication date: 10 July 1997

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

Full work available at URL: https://doi.org/10.1063/1.531549

zbMATH Keywords

simple wave solutionsbarotropic compressible flow

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for linear higher-order PDEs (35G10)

Related Items (4)

Solutions of first-order quasilinear systems expressed in Riemann invariants ⋮ 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

Cites Work

• On the weak symmetry groups of partial differential equations
• Symmetry and explicit solutions of partial differential equations
• Group-Invariant Solutions of Differential Equations
• Grassmann-valued fluid dynamics
• Formation of singularities in one-dimensional nonlinear wave propagation
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• On the existence of nonclassical symmetries of partial differential equations
• Solutions in the large for nonlinear hyperbolic systems of equations

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