Variational approach for (3+1)-dimensional shallow water wave equation

被引:8
作者
Lu, Junfeng [1 ]
机构
[1] Zhejiang Gongshang Univ Hangzhou Coll Commerce, Dept Stat, Hangzhou 310018, Peoples R China
关键词
Variational approach; Soliton; Wave; Solution; SOLITON-SOLUTIONS; BACKLUND TRANSFORMATION; LUMP SOLUTIONS;
D O I
10.1016/j.rinp.2023.107290
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper focuses on the variational approach for solving the (3+1)-dimensional shallow water wave equation. Some families of soliton-type solutions and periodic wave solutions are given, and some remarks about the variational formulation for the special (2+1)-dimensional shallow water wave equation in [Gu, et al. Results in Physics, 45 (2023) 106213] are provided. Numerical results are presented to show the propagation behaviour.
引用
收藏
页数:4
相关论文
共 50 条
  • [41] Dynamics of the Generalized (3+1)-Dimensional Nonlinear Schrodinger Equation in Cosmic Plasmas
    Zhen, Hui-Ling
    Tian, Bo
    Li, Min
    Jiang, Yan
    Wang, Ming
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (03) : 512 - 521
  • [42] APPLICATION OF VARIATIONAL PRINCIPLE AND FRACTAL COMPLEX TRANSFORMATION TO (3+1)-DIMENSIONAL FRACTAL POTENTIAL-YTSF EQUATION
    Lu, Junfeng
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (01)
  • [43] Bilinear Bäcklund Transformation, Fission/Fusion and Periodic Waves of a (3+1)-dimensional Kadomtsev-Petviashvili Equation for the Shallow Water Waves
    Feng, Chun-Hui
    Tian, Bo
    Gao, Xiao-Tian
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2024, 63 (03)
  • [44] Multiple rogue wave and breather solutions for the (3+1)-dimensional KPI equation
    Cui, Wenying
    Zhaqilao
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (05) : 1099 - 1107
  • [46] EXACT THREE-WAVE SOLUTIONS FOR THE (3+1)-DIMENSIONAL BOUSSINESQ EQUATION
    Li, Zheng-Biao
    MATHEMATICAL & COMPUTATIONAL APPLICATIONS, 2010, 15 (05) : 953 - 956
  • [47] Abundant wave solutions of the Boussinesq equation and the (2+1)-dimensional extended shallow water wave equation
    Hossain, Md Dulal
    Alam, Md Khorshed
    Akbar, M. Ali
    OCEAN ENGINEERING, 2018, 165 : 69 - 76
  • [48] Wave Profile, Paul-Painlevé Approaches and Phase Plane Analysis to the Generalized (3+1)-Dimensional Shallow Water Wave Model
    Liu, Minghan
    Manafian, Jalil
    Singh, Gurpreet
    Alsubaie, Abdullah Saad
    Mahmoud, Khaled Hussein
    Mustafayeva, Parvin
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (01)
  • [49] Bilinear form, bilinear Backlund transformation and dynamic features of the soliton solutions for a variable-coefficient (3+1)-dimensional generalized shallow water wave equation
    Huang, Qian-Min
    Gao, Yi-Tian
    MODERN PHYSICS LETTERS B, 2017, 31 (22):
  • [50] SOLITON INTERACTIONS FOR THE GENERALIZED (3+1)-DIMENSIONAL BOUSSINESQ EQUATION
    Gai, Xiao-Ling
    Gao, Yi-Tian
    Yu, Xin
    Sun, Zhi-Yuan
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (07):