The new kink type and non-traveling wave solutions of (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

被引：0
|
作者：
Guo, Chunxiao [1 ]
Guo, Yanfeng [2 ]
Wei, Zhouchao [2 ]
Gao, Lihui [1 ]
机构：
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2024年 / 96卷
基金：
中国国家自然科学基金;
关键词：
Lie group symmetry method; Hirota bilinear form; Extended homoclinic test approach; Kink type solutions; Non-traveling wave solutions; CONSERVATION-LAWS; OPTICAL SOLITONS; BRIGHT;
D O I：
10.1016/j.aej.2024.03.090
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the new solitary wave solutions of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation are obtained by Lie group symmetry method and the extended homoclinic test approach. Firstly, the equation can be reduced to (1+1)-dimensional partial differential equation by Lie group symmetry, and corresponding bilinear forms of the equation are given by symmetry functions. Secondly, the extended homoclinic test approach is employed to obtain the new kink type and singular solitary wave solutions. In addition, some new traveling and non-traveling wave solutions with arbitrary functions and oscillating tail are investigated through the special transformations for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation.
引用
收藏
页码：34 / 41
页数：8
相关论文
共 50 条
  • [1] New non-traveling wave solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
    Liu, Jian-Guo
    Tian, Yu
    Hu, Jian-Guo
    [J]. APPLIED MATHEMATICS LETTERS, 2018, 79 : 162 - 168
  • [2] ABUNDANT NEW NON-TRAVELING WAVE SOLUTIONS FOR THE (3+1)-DIMENSIONAL BOITI-LEON-MANNA-PEMPINELLI EQUATION
    Xu, Yuanqing
    Zheng, Xiaoxiao
    Xin, Jie
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (04): : 2052 - 2069
  • [3] Some new kink type solutions for the new (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
    Chen, Xue
    Guo, Yanfeng
    Zhang, Tengfei
    [J]. NONLINEAR DYNAMICS, 2023, 111 (01) : 683 - 695
  • [4] On a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli Equation
    Zuo, Da-Wei
    Gao, Yi-Tian
    Yu, Xin
    Sun, Yu-Hao
    Xue, Long
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2015, 70 (05): : 309 - 316
  • [5] New three-wave solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
    Liu, Jian-Guo
    Du, Jian-Qiang
    Zeng, Zhi-Fang
    Nie, Bin
    [J]. NONLINEAR DYNAMICS, 2017, 88 (01) : 655 - 661
  • [6] A New Approach to (3+1) Dimensional Boiti-Leon-Manna-Pempinelli Equation
    Yel, Gulnur
    Akturk, Tolga
    [J]. APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2020, 5 (01) : 309 - 316
  • [7] ABUNDANT EXACT TRAVELING WAVE SOLUTIONS TO THE LOCAL FRACTIONAL (3+1)-DIMENSIONAL BOITI-LEON-MANNA-PEMPINELLI EQUATION
    Wang, Kang-Jia
    Wang, Guo-Dong
    Shi, Feng
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (03)
  • [8] Some new kink type solutions for the new (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation
    Xue Chen
    Yanfeng Guo
    Tengfei Zhang
    [J]. Nonlinear Dynamics, 2023, 111 : 683 - 695
  • [9] New variable separation solutions and wave interactions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
    Cui, Chao-jie
    Tang, Xiao-yan
    Cui, Ya-jun
    [J]. APPLIED MATHEMATICS LETTERS, 2020, 102 (102)
  • [10] New Exact Solutions of Nonlinear (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation
    Ali, Mohamed R.
    Ma, Wen-Xiu
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2019, 2019
12345