Equivalence of the Darboux and Gardner methods for integrating hyperbolic equations in the plane

DOI10.1215/S0012-7094-95-07707-2zbMath0823.35121OpenAlexW1961156684MaRDI QIDQ1804683

Philip A. Tuckey, David Hartley, Robin W. Tucker

Publication date: 1 November 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-07707-2

zbMATH Keywords

Pfaffian systemDarboux methodCauchy characteristic vector fieldGardner method

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70)

Related Items (2)

Topology change and the propagation of massless fields ⋮ Some classification results for hyperbolic equations \(F(x,y,u,u_x,u_y,u_{xx},u_{xy},u_{yy})=0\)

Cites Work

• Unnamed Item
• Characteristics and the geometry of hyperbolic equations in the plane
• An obstruction to the integrability of a class of nonlinear wave equations by 1-stable Cartan characteristics
• The cauchy problem for pfaffian systems
• A differential geometric generalization of characteristics

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