Wave scattering in inhomogeneous strings
type: Item
instance of: scholarly article
title: Wave scattering in inhomogeneous strings
zbMATH Open document ID: 1217.35186
DOI: 10.5402/2011/640429
author: Nezam Iraniparast
published in: ISRN Mathematical Analysis
publication date: 2011-06-08T00:00:00Z
review text: Summary: The scattering of waves in an inhomogeneous infinite string with one change in the density of the string is well known. In this paper, we study the case where there are two discontinuities in the density of the string. It turns out that we can write the solution for this case as well. The form of the solution is given in finite sums of reflected and transmitted waves over finite time. The finite sums become converging infinite series for infinite time.
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74K05
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 5905125
zbMATH Keywords: wave scattering
zbMATH Keywords: string
zbMATH Keywords: finite sums solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/640429
OpenAlex ID: W2093571097
Wikidata QID: Q58689906
cites work: Q3894991
cites work: Q4304290
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description: scientific article; zbMATH DE number 5905125