Backlund transformations and soliton solutions for a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics

被引：0
|
作者：
Huang, Zhi-Ruo [1 ,2 ]
Tian, Bo [1 ,2 ]
Zhen, Hui-Ling [1 ,2 ]
Jiang, Yan [1 ,2 ]
Wang, Yun-po [1 ,2 ]
Sun, Ya [1 ,2 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
来源：
NONLINEAR DYNAMICS | 2015年 / 80卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
(3+1)-Dimensional B-type Kadomtsev-Petviashvili equation; Hirota method; Bell polynomials; Soliton solutions; Backlund transformations; DE-VRIES EQUATION; LATTICE; WAVES;
D O I：
10.1007/s11071-014-1321-5
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A (3+1)-dimensional B-type Kadomtsev-Petviashvili equation, which can be applied to describe the propagation of non-linear waves in fluid dynamics, is under investigation in this paper. Based on the binary Bell polynomials, Hirota method, and symbolic computation, the bilinear form is obtained. Backlund transformations are derived in the Bell-polynomial and bilinear forms. Besides, one-and two-soliton solutions are presented. The only coefficient in the equation can affect the soliton structure. Soliton shapes keep unchanged after the elastic interaction and they maintain their original directions and amplitudes except for some phase shifts.
引用
收藏
页码：1 / 7
页数：7
相关论文
共 50 条
  • [1] Backlund transformations, kink soliton, breather- and travelling-wave solutions for a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics
    Ma, Yong-Xin
    Tian, Bo
    Qu, Qi-Xing
    Wei, Cheng-Cheng
    Zhao, Xin
    [J]. CHINESE JOURNAL OF PHYSICS, 2021, 73 : 600 - 612
  • [2] Multiwave interaction solutions for a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics
    Cui, Wenying
    Liu, Yinping
    Li, Zhibin
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (06) : 2217 - 2235
  • [3] Two forms of (3+1)-dimensional B-type Kadomtsev-Petviashvili equation: multiple soliton solutions
    Wazwaz, Abdul-Majid
    [J]. PHYSICA SCRIPTA, 2012, 86 (03)
  • [4] 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):
  • [5] Bilinear auto-Backlund transformations and the hybrid localized wave solutions for the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation
    Ma, Hongcai
    Su, Nan
    Deng, Aiping
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (12)
  • [6] Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation
    Cao, Xifang
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [7] Hybrid solutions of a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation
    Chen, Xin
    Zhao, Dan
    Zhaqilao
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2022, 36 (16):
  • [8] Soliton molecules and some novel hybrid solutions for (3+1)-dimensional B-type Kadomtsev-Petviashvili equation
    Ma, Hongcai
    Huang, Huaiyu
    Deng, Aiping
    [J]. MODERN PHYSICS LETTERS B, 2021, 35 (23):
  • [9] Solitons and Backlund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
    Lan, Zhong-Zhou
    Gao, Yi-Tian
    Yang, Jin-Wei
    Su, Chuan-Qi
    Zhao, Chen
    Gao, Zhe
    [J]. APPLIED MATHEMATICS LETTERS, 2016, 60 : 96 - 100
  • [10] Pfaffian, soliton, hybrid and periodic-wave solutions for a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid mechanics
    Liu, Fei-Yan
    Gao, Yi-Tian
    Yu, Xin
    Li, Liu-Qing
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (01):
12345