Multiple rogue wave solutions for a (3+1)-dimensional Hirota bilinear equation

被引:42
|
作者
Liu, Wenhao [1 ]
Zhang, Yufeng [1 ]
机构
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
关键词
(3+1)-dimensional Hirota bilinear equation; Bilinear form; Rogue waves; SOLITARY WAVES; BREATHER WAVES;
D O I
10.1016/j.aml.2019.05.047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we considered the multiple rogue wave solutions of a (3+1)-dimensional Hirota bilinear equation by using a symbolic computation approach. Based on the bilinear form of this equation, the first-order rogue waves, the second order rogue waves and the third-order rogue waves are presented. Moreover, some basic properties of multiple rogue waves and their collision structures are explained by drawing the three dimensional plot. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码:184 / 190
页数:7
相关论文
共 50 条
  • [1] Multiple rogue wave solutions of (2+1)-dimensional YTSF equation via Hirota bilinear method
    Feng, Yueyang
    Bilige, Sudao
    WAVES IN RANDOM AND COMPLEX MEDIA, 2021,
  • [2] 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
  • [3] Lump and lump-kink-type rogue-wave solutions of the homologous (3+1)-dimensional Hirota-bilinear-like equation
    Li, Wenting
    Jiao, Ailing
    RESULTS IN PHYSICS, 2023, 52
  • [4] Multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation
    Wenhao Liu
    Yufeng Zhang
    Zeitschrift für angewandte Mathematik und Physik, 2019, 70
  • [5] Solitary waves, homoclinic breather waves and rogue waves of the (3+1)-dimensional Hirota bilinear equation
    Dong, Min-Jie
    Tian, Shou-Fu
    Yan, Xue-Wei
    Zou, Li
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (03) : 957 - 964
  • [6] Integrability and multiple-rogue and multi-soliton wave solutions of the (3+1)-dimensional Hirota-Satsuma-Ito equation
    Chu, Jingyi
    Liu, Yaqing
    Ma, Wen-Xiu
    MODERN PHYSICS LETTERS B, 2024,
  • [7] Novel interaction solutions to the (3+1)-dimensional Hirota bilinear equation by bilinear neural network method
    Ma, Wenbo
    Bilige, Sudao
    MODERN PHYSICS LETTERS B, 2024, 38 (29):
  • [8] Multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation
    Liu, Wenhao
    Zhang, Yufeng
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (04):
  • [9] 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):
  • [10] Resonant behavior of multiple wave solutions to a Hirota bilinear equation
    Gao, Li-Na
    Zhao, Xue-Ying
    Zi, Yao-Yao
    Yu, Jun
    Lu, Xing
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (05) : 1225 - 1229