Similarity analysis and nonlinear wave propagation
type: Item
instance of: scholarly article
title: Similarity analysis and nonlinear wave propagation
zbMATH Open document ID: 0614.73018
DOI: 10.1016/0020-7462(87)90023-0
published in: International Journal of Non-Linear Mechanics
publication date: 1987-01-01T00:00:00Z
review text: We characterize the most general \(2\times 2\) first order quasilinear hyperbolic systems in conservative form which are invariant with respect to the stretching group of transformation. The invariant solution satisfy, under suitable conditions, an autonomous first order system of ordinary differential equations. A procedure is given to characterize the profile of the velocities of the strong and weak discontinuities.
Mathematics Subject Classification ID: 74M20
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 3995146
zbMATH Keywords: general 2\(\times 2\) first order quasilinear hyperbolic systems
zbMATH Keywords: conservative form
zbMATH Keywords: invariant
zbMATH Keywords: stretching group of transformation
zbMATH Keywords: autonomous first order system of ordinary differential equations
zbMATH Keywords: profile of the velocities
zbMATH Keywords: strong and weak discontinuities
author: Andrea Donato
MaRDI profile type: Publication
full work available at URL: 0020-7462(87)90023-0
OpenAlex ID: W2041767124
description: scientific article; zbMATH DE number 3995146