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• W2606288004 abstract "Under investigation in this work is a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation, which can describe many nonlinear phenomena in fluid dynamics. By virtue of Bell’s polynomials, an effective and straightforward way is presented to explicitly construct its bilinear form and soliton solutions. Furthermore, based on the bilinear formalism, a direct method is employed to explicitly construct its rogue wave solutions with an ansätz function. Finally, the interaction phenomena between rogue waves and solitary waves are presented with a detailed derivation. The results can be used to enrich the dynamical behavior of higher dimensional nonlinear wave fields." @default.
• W2606288004 created "2017-04-28" @default.
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• W2606288004 date "2017-10-01" @default.
• W2606288004 modified "2023-09-29" @default.
• W2606288004 title "Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=mml22 display=inline overflow=scroll altimg=si22.gif><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-dimensional Kadomtsev–Petviashvili equation" @default.
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• W2606288004 doi "https://doi.org/10.1016/j.aml.2017.04.009" @default.
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