An obstruction to the integrability of a class of nonlinear wave equations by 1-stable Cartan characteristics

DOI10.1006/jdeq.1995.1009zbMath0822.35095OpenAlexW2052732001MaRDI QIDQ1343704

David Hartley, Robin W. Tucker, Edward D. Fackerell

Publication date: 30 January 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1009

zbMATH Keywords

existence of a 1-stable Cartan characteristicline of nonlinearly coupled particles

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Pfaffian systems (58A17) Exterior differential systems (Cartan theory) (58A15)

Related Items (5)

Generalized Laplace invariants and the method of Darboux ⋮ Simple waves and simple states in \(\mathbb{R}^2\) ⋮ Topology change and the propagation of massless fields ⋮ Equivalence of the Darboux and Gardner methods for integrating hyperbolic equations in the plane ⋮ Some classification results for hyperbolic equations \(F(x,y,u,u_x,u_y,u_{xx},u_{xy},u_{yy})=0\)

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