Exact solutions of the one-dimensional acoustic wave equations for several new velocity profiles: Transmission and reflection coefficients

DOI10.1121/1.387833zbMath0512.73027OpenAlexW2044126732MaRDI QIDQ3657524

Phillip B. Abraham, H. E. Moses

Publication date: 1982

Published in: The Journal of the Acoustical Society of America (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1121/1.387833

zbMATH Keywords

exact solutionstransmission coefficientsindices of refractionone-dimensional acoustic wave equationsrelationship of acoustic equation to the Schrödinger equationsolutions of acoustic equation expressed in terms of elementary functions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Waves in solid mechanics (74J99)

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