On exact solutions of nonlinear acoustic equations

DOI10.1016/j.wavemoti.2016.07.009OpenAlexW2963350173MaRDI QIDQ2186206

A. M. Kamchatnov, Maxim P. Pavlov

Publication date: 9 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07631

zbMATH Keywords

nonlinear acousticsKhokhlov-Zabolotskaya equation

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (3)

Analysis of the symmetry group and exact solutions of the dispersionless KP equation in n + 1 dimensions ⋮ Invariant solutions to the Khokhlov-Zabolotskaya singular manifold equation and their application ⋮ Integrability, exact reductions and special solutions of the KP–Whitham equations

Cites Work

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• On the integrability of \((2+1)\)-dimensional quasilinear systems
• On the dispersionless Kadomtsev–Petviashvili equation inn+1 dimensions: exact solutions, the Cauchy problem for small initial data and wave breaking
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• On Two‐Dimensional Non‐Steady Motion of a Slender Body in a Compressible Fluid
• The propagation of spherical blast

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