About nonlinear geometric optics

2005/11/25 by Éric Dumas, Eric Dumas, Dumas, Eric
Mathematics · Physics and Astronomy · #35-02 #35B25 #35C20 #35Qxx #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #math.AP #msc:35-02 #msc:35B25 #msc:35C20 #msc:35Qxx

paper · pdf · doi:10.48550/arxiv.math/0511629

arxiv created 2005/11/25 · openalex publication_date 2005/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an idea of the evolution of mathematical nonlinear geometric optics from its foundation by Lax in 1957, and present applications in various fields of mathematics and physics.

Citations

• Asymptotic solutions of oscillatory initial value problems
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

Cited by

• The DC Kerr Effect in Nonlinear Optics

Related

• Physical origin of nonlinear phenomena in optics
• Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the Einstein Equations
• Geometrical optics in general relativity
• Nonlinear Optics: Physics, Analysis, and Numerics
• Diffractive nonlinear geometrical optics for variational wave equations and the Einstein equations