The dock problem revisited

The well-known semi-infinite dock problem of the theory of scattering of surface water waves is reexamined and known results are recovered by utilizing a Fourier type of analysis, giving rise to Carleman-type singular integral equations over semi-infinite ranges.

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Bibliographic Details
Main Authors: A. Chakrabarti, B. N. Mandal, Rupanwita Gayen
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3459
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author A. Chakrabarti
B. N. Mandal
Rupanwita Gayen
author_facet A. Chakrabarti
B. N. Mandal
Rupanwita Gayen
author_sort A. Chakrabarti
collection DOAJ
description The well-known semi-infinite dock problem of the theory of scattering of surface water waves is reexamined and known results are recovered by utilizing a Fourier type of analysis, giving rise to Carleman-type singular integral equations over semi-infinite ranges.
format Article
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institution Kabale University
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1687-0425
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publishDate 2005-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-1bd671c56f86456288b78a978f4ace4e2025-02-03T06:48:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005213459347010.1155/IJMMS.2005.3459The dock problem revisitedA. Chakrabarti0B. N. Mandal1Rupanwita Gayen2Department of Mathematics, Indian Institute of Science, Bangalore 560012, IndiaPhysics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700108, IndiaPhysics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700108, IndiaThe well-known semi-infinite dock problem of the theory of scattering of surface water waves is reexamined and known results are recovered by utilizing a Fourier type of analysis, giving rise to Carleman-type singular integral equations over semi-infinite ranges.http://dx.doi.org/10.1155/IJMMS.2005.3459
spellingShingle A. Chakrabarti
B. N. Mandal
Rupanwita Gayen
The dock problem revisited
International Journal of Mathematics and Mathematical Sciences
title The dock problem revisited
title_full The dock problem revisited
title_fullStr The dock problem revisited
title_full_unstemmed The dock problem revisited
title_short The dock problem revisited
title_sort dock problem revisited
url http://dx.doi.org/10.1155/IJMMS.2005.3459
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