Exceptionality condition and linearization procedure for a third order nonlinear PDE

DOI10.1006/JMAA.1994.1305zbMath0810.35065OpenAlexW2000766034MaRDI QIDQ1341107

Giovanna Valenti, Andrea Donato

Publication date: 20 April 1995

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

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1305

zbMATH Keywords

exceptionality conditionthird order hyperbolic nonlinear partial differential equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Higher-order nonlinear hyperbolic equations (35L75)

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On differential equations characterized by their Lie point symmetries ⋮ On a generalization of Monge-Ampère equations and Monge-Ampère systems ⋮ An introduction to completely exceptional second order scalar partial differential equations ⋮ Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution ⋮ Linearly degenerate reducible systems of hydrodynamic type ⋮ How to build up variable transformations allowing one to map nonlinear hyperbolic equations into autonomous or linear ones

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