Rogue wave solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation
Lingfei Li and
Yingying Xie
Chaos, Solitons & Fractals, 2021, vol. 147, issue C
Abstract:
The main attention of this work focus on finding rogue wave solutions. Here, we analytically derived multi-order rogue wave solutions for the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation, through its bilinear form and symbolic computation. First, second and third order rogue waves have been systematically analyzed and the numerical simulations are exhibited to look into their dynamical features. Additionally, we have explored the “circular structure” among the obtained rogue waves.
Keywords: Soliton; Bilinear form; Symbolic computation; Rogue wave (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921002897
DOI: 10.1016/j.chaos.2021.110935
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