Points of constancy of the periodic linearized Korteweg–deVries equation
Points of constancy of the periodic linearized Korteweg–deVries equation
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Publisher
The Royal Society Publishing
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English
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The Royal Society Publishing
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We investigate the points of constancy in the piecewise constant solution profiles of the periodic linearized Korteweg–deVries equation with step function initial data at rational times. The solution formulae are given by certain Weyl sums, and we employ number theoretic techniques, including Kummer sums, in our analysis. These results constitute a...
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Full title
Points of constancy of the periodic linearized Korteweg–deVries equation
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TN_cdi_royalsociety_journals_10_1098_rspa_2018_0160
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_royalsociety_journals_10_1098_rspa_2018_0160
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ISSN
1364-5021
E-ISSN
1471-2946
DOI
10.1098/rspa.2018.0160
