Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7154655 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 8 Pages |
Abstract
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.
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Engineering
Mechanical Engineering
Authors
Chun-Yan Qin, Shou-Fu Tian, Xiu-Bin Wang, Tian-Tian Zhang,