Some numerical solutions of a variable-coefficient Korteweg-de Vries equation (with applications to solitary wave development on a shelf)
1972 ◽
Vol 54
(1)
◽
pp. 81-91
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Keyword(s):
De Vries
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Some numerical solutions of a variable-coefficient Korteweg-de Vries equation are presented. This particular equation was derived by the author recently (Johnson 1972) in an attempt to describe the development of a single solitary wave moving onto a shelf. Soliton production on the shelf was predicted and this is confirmed here. Results for two and three solitons are reproduced and two intermediate shelf depths are also considered. In these latter two cases both solitons and an oscillatory wave occur. One of the profiles corresponds to the integrations performed by Madsen & Mei (1969) and a comparison is made.
1973 ◽
Vol 60
(4)
◽
pp. 813-824
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1979 ◽
Vol 368
(1734)
◽
pp. 359-375
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Keyword(s):
2004 ◽
Vol 34
(12)
◽
pp. 2774-2791
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Keyword(s):
1994 ◽
Vol 54
(5)
◽
pp. 1268-1290
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2017 ◽
Vol 292
◽
pp. 448-456
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Keyword(s):
1987 ◽
Vol 14
(4)
◽
pp. 293-301
◽
2020 ◽
Vol 34
(25)
◽
pp. 2050226
◽