Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity

DOI10.1134/S1061920820020016zbMath1441.35150OpenAlexW3028920127MaRDI QIDQ2187310

Andrej I. Shafarevich, Anna I. Allilueva

Publication date: 2 June 2020

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920820020016

zbMATH Keywords

propoagation of wave packets

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Maslov's complex germ in the Cauchy problem for a wave equation with a jumping velocity ⋮ Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes
• Asymptotic soliton-form solutions of equations with small dispersion

This page was built for publication: Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity