Breathers and multiple rogue waves solutions of the (3+1)-dimensional Jimbo–Miwa equation
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In this paper, we construct the breathers of the (3+1)-dimensional Jimbo–Miwa (JM) equation by means of the Hirota bilinear method, then based on the Hirota bilinear method with a new ansatz form, the multiple rogue wave solutions are constructed. Here, we discuss the general breathers, first-order rogue waves, the second-order rogue waves and the third-order rogue waves. Then we draw the 3- and 2-dimensional plots to illustrate the dynamic characteristics of breathers and multiple rogue waves. These interesting results will help us better reveal (3+1)-dimensional JM equation evolution mechanism.
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2021 ◽
Vol 0
(0)
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2020 ◽
Vol 34
(12)
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pp. 2050117
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2017 ◽
Vol 72
(4)
◽
pp. 307-314
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