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
  • [31] Exact solitary-wave solutions and periodic wave solutions for generalized modified Boussinesq equation and the effect of wave velocity on wave shape
    Wei-guo Zhang
    Shao-wei Li
    Wei-zhong Tian
    Lu Zhang
    Acta Mathematicae Applicatae Sinica, English Series, 2008, 24 : 691 - 704
  • [32] Exact Solitary-wave Solutions and Periodic Wave Solutions for Generalized Modified Boussinesq Equation and the Effect of Wave Velocity on Wave Shape
    Zhang, Wei-guo
    Li, Shao-wei
    Tian, Wei-zhong
    Zhang, Lu
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2008, 24 (04): : 691 - 704
  • [33] Exact travelling wave solutions for the generalized shallow water wave equation
    Elwakil, SA
    El-labany, SK
    Zahran, MA
    Sabry, R
    CHAOS SOLITONS & FRACTALS, 2003, 17 (01) : 121 - 126
  • [34] NEW PERIODIC WAVE SOLUTIONS OF (3+1)-DIMENSIONAL SOLITON EQUATION
    Liu, Jiangen
    Wu, Pinxia
    Zhang, Yufeng
    Feng, Lubin
    THERMAL SCIENCE, 2017, 21 : S169 - S176
  • [35] Resonant Y -type soliton, interaction wave and other wave solutions to the (3+1)-dimensional shallow water wave equation
    Wang, Kang-Jia
    Shi, Feng
    Li, Shuai
    Li, Geng
    Xu, Peng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 542 (01)
  • [36] Solitary wave solutions and periodic cosine wave solutions of nonlinear wave equations
    College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
    Shanghai Ligong Daxue Xuebao, 2008, 1 (15-21):
  • [37] Dynamic behaviors of interaction solutions of (3+1)-dimensional Shallow Water wave equation
    Gu, Jiayue
    Zhang, Yong
    Dong, Huanhe
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (06) : 1408 - 1419
  • [38] Lump and Rogue Wave Solutions of a Reduced (3+1)-Dimensional Shallow Water Equation
    Gu, Jiayue
    Dong, Huanhe
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 8 (03) : 510 - 518
  • [39] Solitary wave solutions and kink wave solutions for a generalized KDV-mKDV equation
    Song, Ming
    Hou, Xuejiong
    Cao, Jun
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5942 - 5948
  • [40] Solitary wave solutions and kink wave solutions for a generalized Zakharov-Kuznetsov equation
    Song, Ming
    Cai, Jionghui
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1455 - 1462
12345