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Rational solutions with non-zero offset parameters for an extended (3 + 1)-dimensional BKP-Boussinesq equation

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  • Li, Lingfei
  • Yan, Yongsheng
  • Xie, Yingying

Abstract

In this paper, we consider a family of rational solution for an extend (3 + 1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation with two non-zero offset parameters μ and ν, through its bilinear form and symbolic computation. These solutions can be classified as multi-order breather and multi-order rogue wave. The existence of μ, ν brings nontrivial change to the shape of the higher order solution. The higher order ones are able to decompose into several well-separated breathers and each of them symmetrically locates on a circle. In addition, we analyze their scatter behavior, the moving path of the extreme values as well as the inner connection between the bilinear equation and the rogue wave.

Suggested Citation

  • Li, Lingfei & Yan, Yongsheng & Xie, Yingying, 2022. "Rational solutions with non-zero offset parameters for an extended (3 + 1)-dimensional BKP-Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s096007792200460x
    DOI: 10.1016/j.chaos.2022.112250
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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.
    2. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
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