Dynamic analysis and multiple solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid

被引：0

作者：

Shao, Hangbing ^{[1
]}

Bilige, Sudao ^{[1
,2
]}

机构：

[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China

[2] Inner Mongolia Key Lab Stat Anal Theory Life Data, Hohhot 010051, Peoples R China

来源：

NONLINEAR DYNAMICS | 2024年 / 112卷 / 21期

关键词：

Rogue wave solutions; Localized wave solutions; Superposition formulas; Dynamic analysis; PERIODIC-WAVE SOLUTIONS; STRIPE SOLITONS; NONLINEAR-WAVE; LUMP SOLUTIONS; LIQUID;

D O I：

10.1007/s11071-024-10044-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The localized wave solutions, the rogue wave solutions and interaction solutions of a (3+1)-dimensional generalized Kadomtsev-Petviashvili (GKP) equation were derived. These solutions corresponded to a total of eight sets of parameter relations. The test functions for the rogue wave solutions and the localized solutions were formed by the superposition of positive quadratic functions. Furthermore, the vector tool was specifically introduced in order to obtain the parameter relations in relation to solution functions expressed as superposition formulas. Dynamic analysis were performed on each type of solutions. The properties of all waves were exhibited through concrete examples and graphics.

引用

页码：19337 / 19352

页数：16

共 50 条

[31] Exact travelling wave solutions to the (3+1)-dimensional Kadomtsev-Petviashvili equation
Peng, YZ
Krishnan, EV
[J]. ACTA PHYSICA POLONICA A, 2005, 108 (03) : 421 - 428
[32] Multiple breathers and high-order rational solutions of the new generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
Lu, Huanhuan
Zhang, Yufeng
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (06):
[33] Multiple rogue wave solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation
Liu, Shuang
[J]. CHINESE JOURNAL OF PHYSICS, 2020, 68 : 961 - 970
[34] Similarity reductions and similarity solutions of the (3+1)-dimensional Kadomtsev-Petviashvili equation
Liu Na
Liu Xi-Qiang
[J]. CHINESE PHYSICS LETTERS, 2008, 25 (10) : 3527 - 3530
[35] Exact wave solutions for a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation
Li, Wei
Zhang, Yan
Liu, Yinping
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (12) : 3087 - 3101
[36] Complexiton, complex multiple kink soliton and the rational wave solutions to the generalized (3+1)-dimensional kadomtsev-petviashvili equation
Wang, Kang-Jia
Li, Shuai
[J]. PHYSICA SCRIPTA, 2024, 99 (07)
[37] Resonant multiple wave solutions to a new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation: Linear superposition principle
Lin, Fu-Hong
Chen, Shou-Ting
Qu, Qi-Xing
Wang, Jian-Ping
Zhou, Xian-Wei
Lu, Xing
[J]. APPLIED MATHEMATICS LETTERS, 2018, 78 : 112 - 117
[38] Backlund transformation, Pfaffian, Wronskian and Grammian solutions to the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
He, Xue-Jiao
Lu, Xing
Li, Meng-Gang
[J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (01)
[39] New exact solutions for (3+1)-dimensional Kadomtsev-Petviashvili equation and generalized (2+1)-dimensional Boussinesq equation
El-Sabbagh, MF
Ali, AT
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) : 151 - 162
[40] Dynamics of abundant solutions to the generalized (3+1)-dimensional B-type Kadomtsev-Petviashvili equation
Lu, Huanhuan
Zhang, Yufeng
[J]. MODERN PHYSICS LETTERS B, 2021, 35 (06):

← 1 2 3 4 5 →