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

被引：0
作者：
Yu-Lan Ma
Abdul-Majid Wazwaz
Bang-Qing Li
机构：
[1] Beijing Technology and Business University,School of Mathematics and Statistics
[2] Saint Xavier University,Department Mathematics
[3] Beijing Technology and Business University,School of Computer
来源：
Nonlinear Dynamics | 2021年 / 104卷
关键词：
Kadomtsev–Petviashvili equation; Multiple soliton solutions; Breather solutions; lump solutions; Interaction solutions;
D O I：
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学科分类号：
摘要：
In this paper, we develop a new extended Kadomtsev–Petviashvili (eKP) equation. We use the Painlevé 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：13
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