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Lumps, breathers, and interaction solutions of a (3+1)-dimensional generalized Kadovtsev–Petviashvili equation
Modern Physics Letters B ( IF 1.9 ) Pub Date : 2020-10-09 , DOI: 10.1142/s021798492150041x
Xi Ma 1 , Tie-Cheng Xia 1 , Handong Guo 1
Affiliation  

In this paper, we use the Hirota bilinear method to find the [Formula: see text]-soliton solution of a [Formula: see text]-dimensional generalized Kadovtsev–Petviashvili (KP) equation. Then, we obtain the [Formula: see text]-order breathers of the equation, and combine the long-wave limit method to give the [Formula: see text]-order lumps. Resorting to the extended homoclinic test technique, we obtain the breather-kink solutions for the equation. Last, the interaction solution composed of the [Formula: see text]-soliton solution, [Formula: see text]-breathers, and [Formula: see text]-lumps for the [Formula: see text]-dimensional generalized KP equation is constructed.

中文翻译:

(3+1) 维广义 Kadovtsev-Petviashvili 方程的团块、呼吸器和相互作用解

在本文中,我们使用 Hirota 双线性方法来找到 [公式:见文本] 维广义 Kadovtsev-Petviashvili (KP) 方程的 [公式:见文本] - 孤子解。然后,我们得到方程的[公式:见文]-阶呼吸器,并结合长波极限法得到[公式:见文]-阶团块。借助扩展同宿测试技术,我们得到了方程的呼吸扭结解。最后,由[公式:见文本]-孤子解、[公式:见文本]-呼吸和[公式:见文本]-块组成的交互解为 [公式:见文本]-维广义 KP 方程建。
更新日期:2020-10-09
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