Description of the attenuation of invariant ultrasonic beams after formation of the shock fronts in a cubic nonlinear medium in the absence of dissipation

DOI10.1016/J.CNSNS.2022.106942zbMath1504.35023OpenAlexW4306180718MaRDI QIDQ2108698

Yu. A. Chirkunov

Publication date: 20 December 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106942

zbMATH Keywords

attenuationabsence of dissipationinvariant submodelscubic nonlinear mediumKhokhlov-Zabolotskaya-Kuznetsov modelnonlinear hydroacoustics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

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• On group properties and conservation laws for second-order quasi-linear differential equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• On Two‐Dimensional Non‐Steady Motion of a Slender Body in a Compressible Fluid
• Numerical Methods for Ordinary Differential Equations

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