Rational solutions and lump solutions to the (3+1)-dimensional Mel’nikov equation
2019 ◽
Vol 34
(03)
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pp. 2050033
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Keyword(s):
In this paper, explicit representation of general rational solutions for the (3[Formula: see text]+[Formula: see text]1)-dimensional Mel’nikov equation is derived by employing the Hirota bilinear method. It is obtained in terms of determinants whose matrix elements satisfy some differential and difference relations. By selecting special value of the parameters involved, the first-order and second-order lump solutions are given and their dynamic characteristics are illustrated by two- and three-dimensional figures.
2020 ◽
Vol 34
(12)
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pp. 2050117
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Keyword(s):
2021 ◽
2017 ◽
Vol 72
(7)
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pp. 609-615
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Keyword(s):
2017 ◽
Vol 72
(4)
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pp. 307-314
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Keyword(s):
Keyword(s):
2019 ◽
Vol 33
(07)
◽
pp. 1950038
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Keyword(s):
2017 ◽
Vol 2017
◽
pp. 1-15
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Keyword(s):