Localized excitation and folded solitary wave for an extended (3+1)-dimensional B-type Kadomtsev-Petviashvili equation

被引：5
作者：
Li, Lingfei [1 ]
Yan, Yongsheng [1 ]
Xie, Yingying [2 ]
机构：
[1] Northwest Univ, Sch Econ & Management, Xian 710127, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
NONLINEAR DYNAMICS | 2022年 / 109卷 / 03期
关键词：
Kadomtsev-Petviashvili equation; Lattice structure; Folded wave; Dromion; Lump; Breather; VARIABLE SEPARATION APPROACH; DROMIONS;
D O I：
10.1007/s11071-022-07559-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this work, we employ the multi-linear variable separation approach to derive variable separation solution for a new extended (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. The solutions obtained here contain two totally separated arbitrary functions without any constraint. In addition, three kinds of localized excitations have been constructed, including dromion-lattice structure, lump-lattice structure and periodic lattice structure. By adjusting the velocities to be equal or unequal, the chase-collision and interaction phenomena have been observed. Moreover, folded solitary waves such as worm shape, worm-dromion shape, worm-solitoff shape, fin shape and octopus shape foldons are derived by introducing multi-valued function. Lastly, we discuss the interaction behavior of two- and three-foldon and construct M x N folded wave.
引用
收藏
页码：2013 / 2027
页数：15
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