Three-dimensional Korteweg-de Vries equation and traveling wave solutions
2000 ◽
Vol 24
(6)
◽
pp. 379-384
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Keyword(s):
De Vries
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The three-dimensional power Korteweg-de Vries equation[ut+unux+uxxx]x+uyy+uzz=0, is considered. Solitary wave solutions for any positive integernand cnoidal wave solutions forn=1andn=2are obtained. The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using Fourier series expansions and Poisson's summation formula.
1998 ◽
Vol 21
(1)
◽
pp. 183-187
1994 ◽
Vol 54
(5)
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pp. 1268-1290
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2000 ◽
Vol 24
(6)
◽
pp. 371-377
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1990 ◽
Vol 14
(2)
◽
pp. 221-224
Keyword(s):
2016 ◽
Vol 26
(8)
◽
pp. 084312
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Keyword(s):
2011 ◽
Vol 217
(12)
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pp. 6013-6017
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Keyword(s):
2018 ◽
Vol 33
(25)
◽
pp. 1850145
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