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Rogue wave solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation

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  • Li, Lingfei
  • Xie, Yingying

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.

Suggested Citation

  • Li, Lingfei & Xie, Yingying, 2021. "Rogue wave solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921002897
    DOI: 10.1016/j.chaos.2021.110935
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    References listed on IDEAS

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    1. Azzouzi, F. & Triki, H. & Mezghiche, K. & El Akrmi, A., 2009. "Solitary wave solutions for high dispersive cubic-quintic nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1304-1307.
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    Cited by:

    1. Ngondiep, Eric, 2024. "A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin–Bona–Mahony–Burgers equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 560-577.

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