Resonance solutions and hybrid solutions of an extended (2+1)-dimensional Kadomtsev-Petviashvili equation in fluid mechanics

被引：6
|
作者：
Ma, Hongcai [1 ,2 ]
Mao, Xue [1 ,2 ]
Deng, Aiping [1 ,2 ]
机构：
[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
[2] Donghua Univ, Inst Nonlinear Sci, Shanghai 201620, Peoples R China
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 14期
关键词：
Extended (2+1)-dimensional KP equation; Fusion and fission resonance solutions; Long-wave limit method; Conjugate complex method; Interaction solutions; BREATHER;
D O I：
10.1007/s11071-023-08569-6
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Constructing solutions to the extended (2+1)-dimensional Kadomtsev-Petviashvili equation is the major goal of this article, which includes resonance solutions, rational solutions, breather solutions, and various hybrid solutions. The main approaches are conjugate complex method, long-wave limit method, and introducing new restrictive conditions. We are able to better explain the complex dynamical behavior by plotting the images of the solutions (fusion, fission, and collision phenomena, trajectory changes, etc.) and facilitate to help in the study of fluid mechanics.
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页码：13439 / 13455
页数：17
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