Solitary waves, rogue waves and homoclinic breather waves for a (2 + 1)-dimensional generalized Kadomtsev–Petviashvili equation
2017 ◽
Vol 31
(30)
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pp. 1750281
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Keyword(s):
We study a (2 + 1)-dimensional generalized Kadomtsev–Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bell’s polynomials, an effective way is employed to succinctly construct the bilinear form of the gKP equation. Based on the resulting bilinear equation, we derive its solitary waves, rogue waves and homoclinic breather waves, respectively. Our results can help enrich the dynamical behavior of the KP-type equations.
2019 ◽
Vol 29
(8)
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pp. 2964-2976
Keyword(s):
2017 ◽
Vol 31
(36)
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pp. 1750350
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Keyword(s):
2019 ◽
Vol 33
(03)
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pp. 1950014
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Keyword(s):
2016 ◽
Vol 8
(2)
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pp. 271-278
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Keyword(s):
2018 ◽
Vol 75
(3)
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pp. 957-964
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Keyword(s):
2018 ◽
Vol 62
◽
pp. 378-385
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2017 ◽
Vol 74
(3)
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pp. 556-563
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