Nonlinear wave modulation in fluid filled distensible tubes
type: Item
instance of: scholarly article
title: Nonlinear wave modulation in fluid filled distensible tubes
zbMATH Open document ID: 0812.73042
DOI: 10.1007/BF01170064
author: H. A. Erbay
author: S. Erbay
published in: Acta Mechanica
publication date: 1995-01-11T00:00:00Z
review text: The work considers one-dimensional wave propagation in an infinitely long, straight and homogeneous nonlinear viscoelastic or elastic tube filled with an incompressible, inviscid fluid. Using the reductive perturbation technique, and assuming the weakness of dissipative effects, the amplitude modulation of weakly nonlinear waves is examined. It is shown that the amplitude modulation of these waves is governed by a dissipative nonlinear Schrödinger equation (NLS). In the absence of dissipative effects, this equation reduces to the classical NLS equation.
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 709568
zbMATH Keywords: incompressible hyperelastic materials
zbMATH Keywords: one-dimensional wave propagation
zbMATH Keywords: reductive perturbation technique
zbMATH Keywords: amplitude modulation
zbMATH Keywords: dissipative nonlinear Schrödinger equation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 709568