Rauch, Jeffrey Nonlinear pulse propagation. (English) Zbl 1021.35062 Journées “Équations aux dérivées partielles”, Plestin-les-Grèves, France, 5 au 8 juin 2001. Exposés Nos. I-XIV. Nantes: Université de Nantes. Exp. No. 11, 11 p. (2001). Summary: This talk gives a brief review of some recent progress in the asymptotic analysis of short pulse solutions of nonlinear hyperbolic partial differential equations. This includes descriptions on the scales of geometric optics and diffractive geometric optics and also studies of special situations where pulses passing through focal points can be analysed.For the entire collection see [Zbl 0990.00046]. MSC: 35L60 First-order nonlinear hyperbolic equations 78A05 Geometric optics 35B40 Asymptotic behavior of solutions to PDEs 35C20 Asymptotic expansions of solutions to PDEs Keywords:wave trains versus pulses; short pulse solutions; scales of geometric optics; diffractive geometric optics PDFBibTeX XMLCite \textit{J. Rauch}, in: Journées ``Équations aux dérivées partielles'', Plestin-les-Grèves, France, 5 au 8 juin 2001. Exposés Nos. I-XIV. Nantes: Université de Nantes. Exp. No. 11, 11 p. (2001; Zbl 1021.35062) Full Text: Numdam EuDML