About nonlinear geometric optics

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.

References in corpus (1)

• Focusing at a point with caustic crossing for a class of nonlinear equations

Cited by in corpus (4)

• Complex geometric optics for symmetric hyperbolic systems II: nonlinear theory in one space dimension
• High frequency behaviour of the Maxwell-Bloch model with relaxations: convergence to the Schrödinger-Boltzmann system
• Space-time resonances and high-frequency Raman instabilities in the two-fluid Euler-Maxwell system
• Higher-order resonances and instability of high-frequency WKB solutions