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• W2924256080 abstract "Fluids are seen in a wide range of disciplines, including mechanical, civil, chemical and biomedical engineering, geophysics, astrophysics and biology. In this paper, we investigate a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation for the long water waves and small-amplitude surface waves with the weak nonlinearity, weak dispersion and weak perturbation in a fluid. Breather-wave, lump-wave and lump wave–soliton solutions are derived under certain conditions via the Hirota method. With h1h2−1<0, where h1 and h2 represent the coefficients of dispersion and nonlinearity, respectively, we obtain the dark breather wave and lump wave. We observe the effects of h1, h2, h4, h6 and h8 on the dark breather wave and lump wave, where h6 is the perturbed effect, h4 and h8 stand for the disturbed wave velocity effects corresponding to the y and z coordinates: h1 and h2 influence the amplitude of the dark breather wave; h1, h4 and h8 influence the distance between the adjacent valleys of the dark breather wave; h1, h4, h6 and h8 influence the location of the dark breather wave; h2, h4, h6 and h8 influence the amplitude of the dark lump wave; h1, h4 and h8 influence the width of the dark lump wave; h4, h6 and h8 influence the location of the dark lump wave. When h1h2−1>0, we present the fusion between a bright lump wave and one bright soliton as well as fission of one bright soliton. We also observe the fusion between a dark lump wave and one dark soliton as well as fission of one dark soliton with h1h2−1>0." @default.
• W2924256080 created "2019-04-01" @default.
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• W2924256080 date "2019-07-01" @default.
• W2924256080 modified "2023-10-16" @default.
• W2924256080 title "Dark breather waves, dark lump waves and lump wave–soliton interactions for a <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll id=d1e1368 altimg=si37.gif><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional generalized Kadomtsev–Petviashvili equation in a fluid" @default.
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• W2924256080 doi "https://doi.org/10.1016/j.camwa.2019.02.026" @default.
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