Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions

DOI10.1088/0305-4470/19/10/018zbMath0623.35065OpenAlexW2074545007WikidataQ114849295 ScholiaQ114849295MaRDI QIDQ3760997

Minati Nasker, A. Roy Chowdhury

Publication date: 1986

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/19/10/018

zbMATH Keywords

conservation lawsdifferential formsLie symmetriesnonlinear mediumprolongationKhokhlov-Zabolotskaya equationexplicit structurepropagation of a sound beam

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (6)

Symmetry properties of a nonlinear acoustics model ⋮ Some traveling wave solutions for the dissipative Zabolotskaya–Khokhlov equation ⋮ Long waves in ferromagnetic media, Khokhlov--Zabolotskaya equation ⋮ New exact solutions for the Khokhlov-Zabolotskaya-Kuznetsov, the Newell-Whitehead-Segel and the Rabinovich wave equations by using a new modification of the tanh-coth method ⋮ Stable-range approach to short wave and Khokhlov-Zabolotskaya equations ⋮ Infinite-dimensional symmetries of two-dimensional generalized Burgers equations

This page was built for publication: Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions