Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity

DOI10.1134/S1061920821020011zbMath1468.35033OpenAlexW3170366313MaRDI QIDQ2037771

Anna I. Allilueva, Andrej I. Shafarevich

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1134/s1061920821020011

zbMATH Keywords

propagation of wave packetsconstruction of the canonical Maslov operato

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Maslov's complex germ in the Cauchy problem for a wave equation with a jumping velocity ⋮ Quantization of nonsmooth curves and the semiclassical spectrum of the one-dimensional Schrödinger operator with a localized perturbation of the potential

Cites Work

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• Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes
• Adiabatic perturbation of a periodic potential
• Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity
• Asymptotic soliton-form solutions of equations with small dispersion

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