On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation
On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation
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DOI：
10.1016/j.cnsns.2018.02.040
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发表时间：
2018-09
期刊：
影响因子：
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通讯作者：
Chun-Yan Qin;Shou‐Fu Tian;Xiu-Bin Wang;Tian‐Tian Zhang
中科院分区：
文献类型：
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作者：
Chun-Yan Qin;Shou‐Fu Tian;Xiu-Bin Wang;Tian‐Tian Zhang
本文研究了一个广义的（2+1）维Camassa-Holm-Kadomtsev-Petviashvili （gCHKP）方程，该方程描述了色散在液滴中模式形成中的作用。我们简明地构造了它的双线性形式体系。进一步利用同斜呼吸极限方法，得到了方程的呼吸波、异常波和孤立波的精确解。我们的结果表明，对于（2+1）维gCHKP方程，异常波可能来自呼吸孤立波的极端行为。
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.