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
来源：
RESULTS IN PHYSICS | 2024年 / 56卷
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
  • [31] Lie symmetry analysis and exact solutions of the (3+1)-dimensional generalized Shallow Water-like equation
    Yang, Ben
    Song, Yunjia
    Wang, Zenggui
    FRONTIERS IN PHYSICS, 2023, 11
  • [32] Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves
    Feng, Yu-Jie
    Gao, Yi-Tian
    Li, Liu-Qing
    Jia, Ting-Ting
    APPLICABLE ANALYSIS, 2021, 100 (07) : 1544 - 1556
  • [33] Dynamics of localized waves in a (3+1)-dimensional nonlinear evolution equation
    Yue, Yunfei
    Chen, Yong
    MODERN PHYSICS LETTERS B, 2019, 33 (09):
  • [34] The solitary wave, rogue wave and periodic solutions for the (3+1)-dimensional soliton equation
    Liu, Jian-Guo
    You, Meng-Xiang
    Zhou, Li
    Ai, Guo-Ping
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (01):
  • [35] Sensitivity and wave propagation analysis of the time-fractional (3+1)-dimensional shallow water waves model
    Senol, Mehmet
    Gencyigit, Mehmet
    Demirbilek, Ulviye
    Az-Zo'bi, Emad A.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (03):
  • [36] Interaction phenomenon and breather wave to the extend (3+1)-dimensional Kadomtsev-Petviashvili equation
    Chen, Wenxia
    Guan, Ru
    Tian, Lixin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 518 (01)
  • [37] The higher-order and multi-lump waves for a (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid
    Hu, Cong-Cong
    Tian, Bo
    Qu, Qi-Xing
    Yang, Dan-Yu
    CHINESE JOURNAL OF PHYSICS, 2022, 77 : 1755 - 1764
  • [38] Analysis on the M-rogue wave solutions of a generalized (3+1)-dimensional KP equation
    Zhang, Hong-Yi
    Zhang, Yu-Feng
    APPLIED MATHEMATICS LETTERS, 2020, 102
  • [39] Kadomtsev-Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid
    Zhao, Xin
    Tian, Bo
    Qu, Qi-Xing
    Li, He
    Zhao, Xue-Hui
    Zhang, Chen-Rong
    Chen, Su-Su
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, 99 (03) : 407 - 425
  • [40] EVOLUTION OF LUMP AND BREATHER WAVE SOLUTIONS FOR NEW (3+1)-DIMENSIONAL INTEGRABLE BOUSSINESQ EQUATION
    Kaur, Lakhveer
    Wazwaz, Abdul-Majid
    ROMANIAN REPORTS IN PHYSICS, 2022, 74 (04)
12345