New extended Kadomtsev-Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions

被引：171
|
作者：
Ma, Yu-Lan [1 ]
Wazwaz, Abdul-Majid [2 ]
Li, Bang-Qing [3 ]
机构：
[1] Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China
[2] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
[3] Beijing Technol & Business Univ, Sch Comp, Beijing 100048, Peoples R China
来源：
NONLINEAR DYNAMICS | 2021年 / 104卷 / 02期
关键词：
Kadomtsev– Petviashvili equation; Multiple soliton solutions; Breather solutions; lump solutions; Interaction solutions; ROGUE WAVE; TRANSFORMATION; SYSTEM; MODEL; FORM;
D O I：
10.1007/s11071-021-06357-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we develop a new extended Kadomtsev-Petviashvili (eKP) equation. We use the Painleve analysis to confirm the integrability of the eKP equation. We derive the bilinear form, multiple soliton solutions and lump solutions via using the Hirota's direct method. Moreover, the soliton, breather and lump interaction solutions for this model are also obtained as well. Graphs are drawn to illustrate the abundant dynamical behaviors of the obtained solutions.
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页码：1581 / 1594
页数：14
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