Journal
APPLIED MATHEMATICS LETTERS
Volume 72, Issue -, Pages 58-64Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.04.009
Keywords
A generalized (3+1)-dimensional; Kadomtsev- Petviashvili equation; Bilinear form; Breather waves; Rogue waves; Solitary waves
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Funding
- Fundamental Research Fund for the Central Universities [2017XKQY101]
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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 ansatz 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. (C) 2017 Elsevier Ltd. All rights reserved.
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