Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
type: Item
instance of: scholarly article
title: Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
zbMATH Open document ID: 0910.73036
DOI: 10.1007/BF01170373
author: D. Massart
published in: Acta Mechanica
publication date: 1998-04-20T00:00:00Z
review text: The analysis of the title problem is based on a set of highly nonlinear coupled equations depending on the longitudinal coordinate and time. The main progress is made by the study of the following particular cases: the linearized case which provides the existence of travelling waves of arbitrary shape, the finite-amplitude long-wave case, the far-field solution, and the finite-amplitude finite-wavelength case.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1143237
zbMATH Keywords: linearized case
zbMATH Keywords: existence of travelling waves
zbMATH Keywords: finite-amplitude long-wave case
zbMATH Keywords: far-field solution
zbMATH Keywords: finite-amplitude finite-wavelength case
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01170373
OpenAlex ID: W1995410519
description: scientific article; zbMATH DE number 1143237