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- W2891060981 abstract "In this paper, we investigate the ( 3 + 1 ) -dimensional Kadomtsev–Petviashvili equation in a plasma or fluid. For the amplitude of the electrostatic wave potential in the plasma or shallow-water wave in the fluid, via the Kadomtsev–Petviashvili hierarchy reduction, we obtain the semi-rational solutions in determinant form for such an equation. Interactions between the first-order lump (or rogue wave) and soliton are illustrated. We find that the lump arises and then separates from the soliton on the x – y and x – z planes; and that the rogue wave possesses a line profile and arises from the soliton (or constant background) on the y – z plane, where x , y and z are the scaled spatial coordinates. Interactions between the two lumps (or rogue waves) and two solitons are presented. Interactions between the second-order lump (or rogue wave) and one soliton are also presented." @default.
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- W2891060981 date "2018-12-01" @default.
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- W2891060981 title "Semi-rational solutions for the (3+1)-dimensional Kadomtsev–Petviashvili equation in a plasma or fluid" @default.
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- W2891060981 doi "https://doi.org/10.1016/j.camwa.2018.08.059" @default.
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