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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
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