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Focal Systems for Pfaffian Systems with Characteristics

  • Niky KamranEmail author
Chapter
Part of the Abel Symposia book series (ABEL, volume 5)

Abstract

Focal systems are a generalization to the case of Pfaffian system with characteristics of the classical notion of focal curves for first-order scalar partial diffeerntial equations. We show how focal systems can be used to prove local normal form results for second-order scalar hyperbolic equations in the plane. We also illustrate their use in integration methods for first-order equations.

Keywords

Integral Manifold Order Partial Differential Equation Focal System Pfaffian System Exterior Differential System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of Mathematics and Statistics, Burnside HallMcGill UniversityQCCanada

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