Double sonic waves
type: Item
instance of: scholarly article
title: Double sonic waves
zbMATH Open document ID: 0854.76082
DOI: 10.1007/BF02109840
author: L. V. Ovsyannikov
published in: Siberian Mathematical Journal
publication date: 1997-01-27T00:00:00Z
review text: The article is devoted to the problem of finding special classes of solutions to the \(n\)-dimensional wave equation which, for \(n = 3\), describes the propagation of sound (as well as light, electromagnetic and elastic waves, etc.) in a homogeneous medium. We analyze solutions of multiple wave type when the velocity vector and the pressure depend on \(\sigma < n\) arguments. The multiple waves in question are considered as partially invariant solutions from the standpoint of group analysis of differential equations.
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 923525
zbMATH Keywords: Smirnov-Sobolev functionally invariant solution
zbMATH Keywords: homogeneous medium
zbMATH Keywords: solutions of multiple wave type
zbMATH Keywords: partially invariant solutions
zbMATH Keywords: group analysis of differential equations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 923525