Coherent Structures and Carrier Shocks in the Nonlinear Periodic Maxwell Equations

DOI10.1137/100810046zbMath1348.74180arXiv1009.3675OpenAlexW2963862850MaRDI QIDQ2905611

Gideon Simpson, Michael I. Weinstein

Publication date: 28 August 2012

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3675

zbMATH Keywords

solitonsshocksnonlinear geometrical optics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with optics and electromagnetic theory (35Q60) Hyperbolic conservation laws (35L65) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Resonance in context of PDEs (35B34) Geometric optics (78A05) Soliton solutions (35C08) Integro-partial differential equations (35R09) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)

Related Items (2)

Numerical simulation of cylindrical solitary waves in periodic media ⋮ UNIFORMLY VALID ASYMPTOTICS FOR CARRIER’S MATHEMATICAL MODEL OF STRING OSCILLATIONS

Uses Software

• Unnamed Item

This page was built for publication: Coherent Structures and Carrier Shocks in the Nonlinear Periodic Maxwell Equations