Solitary wave solutions, fusionable wave solutions, periodic wave solutions and interactional solutions of the (3+1)-dimensional generalized shallow water wave equation

被引：2
|
作者：
Zhou, Ai-Juan [1 ]
He, Bing-Jie [1 ]
机构：
[1] Shanghai Univ Engn Sci, Basic Teaching Dept, Shanghai 200434, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2021年 / 35卷 / 23期
关键词：
Solitary wave solution; fusionable wave solutions; periodic wave solutions; interactional solution; KADOMTSEV-PETVIASHVILI EQUATION; MULTISOLITON SOLUTIONS; EVOLUTION-EQUATIONS; RATIONAL SOLUTIONS; LINE SOLITON; LUMP; FORM;
D O I：
10.1142/S0217984921503899
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, we study exact solutions of the generalized shallow water wave equation. Based on the bilinear equation, we get N-solitary wave solutions. For special parameters, we find N-fusionable wave solutions. For complex parameters, periodic wave solutions and elastic interactional solutions of solitary waves with periodic waves are obtained. The properties of obtained exact solutions are also analyzed theoretically and graphically by using asymptotic analysis.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] New periodic solitary wave solutions for the (3+1)-dimensional generalized shallow water equation
    Jian-Guo Liu
    Yan He
    Nonlinear Dynamics, 2017, 90 : 363 - 369
  • [2] New periodic solitary wave solutions for the (3+1)-dimensional generalized shallow water equation
    Liu, Jian-Guo
    He, Yan
    NONLINEAR DYNAMICS, 2017, 90 (01) : 363 - 369
  • [3] 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):
  • [4] Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach
    Kumar, Dharmendra
    Kumar, Sachin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (03) : 857 - 877
  • [5] Particular solutions for a (3+1)-dimensional generalized shallow water wave equation
    Gao, YT
    Tian, B
    Hong, W
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1998, 53 (09): : 806 - 807
  • [6] The lump, lumpoff and rouge wave solutions of a (3+1)-dimensional generalized shallow water wave equation
    Yang, Jin-Jie
    Tian, Shou-Fu
    Peng, Wei-Qi
    Li, Zhi-Qiang
    Zhang, Tian-Tian
    MODERN PHYSICS LETTERS B, 2019, 33 (17):
  • [7] Periodic wave solutions and solitary wave solutions of Kundu equation
    Zhang, Weiguo
    Guo, Yuli
    Zhang, Xue
    PHYSICA SCRIPTA, 2025, 100 (03)
  • [8] Solitary wave solutions, lump solutions and interactional solutions to the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation
    Gao, Min
    Zhang, Hai-Qiang
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (07):
  • [9] Breather and Interaction Solutions for a (3+1)-Dimensional Generalized Shallow Water Wave Equation
    Sun, Yan
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (03)
  • [10] Analytical soliton solutions to the generalized (3+1)-dimensional shallow water wave equation
    Kumar, Sachin
    Kumar, Dharmendra
    MODERN PHYSICS LETTERS B, 2022, 36 (02):
12345