On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili equation

•The bilinear formalism of a generalized(2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili is derived in this paper.•Some exact solutions including breather waves, rogue waves and solitary waves, of the equation are well presented.•Our results show that rogue waves can come from the extreme behav...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2018-09, Vol.62, p.378-385
Main Authors: Qin, Chun-Yan, Tian, Shou-Fu, Wang, Xiu-Bin, Zhang, Tian-Tian
Format: Article
Language:English
Subjects:
A generalized (2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili equation
Breather wave
Drop size distribution
Generalized linear models
Homoclinic breather limit approach
Mathematical models
Nonlinear equations
Rogue wave
Solitary wave
Solitary waves
Water waves
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Summary:•The bilinear formalism of a generalized(2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili is derived in this paper.•Some exact solutions including breather waves, rogue waves and solitary waves, of the equation are well presented.•Our results show that rogue waves can come from the extreme behavior of the breather solitary waves for the equation. In this paper, a generalized (2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili (gCHKP) equation is investigated, which describes the role of dispersion in the formation of patterns in liquid drops. We succinctly construct its bilinear formalism. By further using homoclinic breather limit approach, some exact solutions including breather waves, rogue waves and solitary waves of the equation are well presented. Our results show that rogue waves can come from the extreme behavior of the breather solitary waves for the (2+1)-dimensional gCHKP equation.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2018.02.040