Similarity representation of wave propagation in a nonlinear viscoelastic rod on a group theoretic basis
type: Item
instance of: scholarly article
title: Similarity representation of wave propagation in a nonlinear viscoelastic rod on a group theoretic basis
zbMATH Open document ID: 0606.73029
DOI: 10.1016/0307-904X(86)90060-0
author: Waclaw Frydrychowicz
author: Mansa C. Singh
published in: Applied Mathematical Modelling
publication date: 1986-01-01T00:00:00Z
review text: Similarity representation of wave propagation in a nonlinear viscoelastic rod, subjected to a velocity impact is constructed. By the use of a multiparameter dimensional group of transformations, under which the system of basic equations and auxiliary conditions are invariant, similarity transformations are obtained which are used to construct the similarity representation in the form of an ordinary nonlinear boundary value problem of the original system, consisting of a set of simultaneous nonlinear partial differential equations and the association boundary and initial conditions.
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 3980608
zbMATH Keywords: invariance
zbMATH Keywords: Similarity representation
zbMATH Keywords: nonlinear viscoelastic rod
zbMATH Keywords: velocity impact
zbMATH Keywords: multiparameter dimensional group of transformations
zbMATH Keywords: similarity transformations
zbMATH Keywords: ordinary nonlinear boundary value problem
zbMATH Keywords: set of simultaneous nonlinear partial differential equations
zbMATH Keywords: boundary and initial conditions
MaRDI profile type: Publication
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full work available at URL: 0307-904x(86)90060-0
OpenAlex ID: W2026888543
description: scientific article; zbMATH DE number 3980608