Rational solutions with non-zero offset parameters for an extended (3 + 1)-dimensional BKP-Boussinesq equation
Lingfei Li,
Yongsheng Yan and
Yingying Xie
Chaos, Solitons & Fractals, 2022, vol. 160, issue C
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.
Keywords: Breather; Soliton; Wave motion; Rogue wave; Bilinear form (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s096007792200460x
DOI: 10.1016/j.chaos.2022.112250
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