Abundant rogue wave solutions for the (2+1)-dimensional generalized Korteweg-de Vries equation

被引：4
|
作者：
Lu, Huanhuan [1 ]
Zhang, Yufeng [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2021年 / 22卷 / 7-8期
基金：
中国国家自然科学基金;
关键词：
Hirota bilinear formulation; multiple rogue waves; symbolic computation; LUMP;
D O I：
10.1515/ijnsns-2020-0094
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we analyse two types of rogue wave solutions generated from two improved ansatzs, to the (2 + 1)-dimensional generalized Korteweg-de Vries equation. With symbolic computation, the first-order rogue waves, second-order rogue waves, third-order rogue waves are generated directly from the first ansatz. Based on the Hirota bilinear formulation, another type of one-rogue waves and two-rogue waves can be obtained from the second ansatz. In addition, the dynamic behaviours of obtained rogue wave solutions are illustrated graphically.
引用
收藏
页码：999 / 1010
页数：12
相关论文
共 50 条
  • [1] General lump solutions, lumpoff solutions, and rogue wave solutions with predictability for the (2+1)-dimensional Korteweg-de Vries equation
    Wang, Hui
    Tian, Shou-Fu
    Zhang, Tian-Tian
    Chen, Yi
    Fang, Yong
    COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (04):
  • [2] General lump solutions, lumpoff solutions, and rogue wave solutions with predictability for the (2+1)-dimensional Korteweg-de Vries equation
    Hui Wang
    Shou-Fu Tian
    Tian-Tian Zhang
    Yi Chen
    Yong Fang
    Computational and Applied Mathematics, 2019, 38
  • [3] Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation
    Qin, Chun-Rong
    Liu, Jian-Guo
    Zhu, Wen-Hui
    Ai, Guo-Ping
    Uddin, M. Hafiz
    ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
  • [4] Deformed two-dimensional rogue waves in the (2+1)-dimensional Korteweg-de Vries equation*
    Cao, Yulei
    Hu, Peng-Yan
    Cheng, Yi
    He, Jingsong
    CHINESE PHYSICS B, 2021, 30 (03)
  • [5] On quasiperiodic wave solutions and integrability to a generalized -dimensional Korteweg-de Vries equation
    Xu, Mei-Juan
    Tian, Shou-Fu
    Tu, Jian-Min
    Ma, Pan-Li
    Zhang, Tian-Tian
    NONLINEAR DYNAMICS, 2015, 82 (04) : 2031 - 2049
  • [6] New periodic solitary wave solutions for the new (2+1)-dimensional Korteweg-de Vries equation
    Li, Ye-Zhou
    Liu, Jian-Guo
    NONLINEAR DYNAMICS, 2018, 91 (01) : 497 - 504
  • [7] Analytic investigation of the (2+1)-dimensional Schwarzian Korteweg-de Vries equation for traveling wave solutions
    Aslan, Ismail
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 6013 - 6017
  • [8] Periodic solutions of the (2+1)-dimensional complex modified Korteweg-de Vries equation
    Yuan, Feng
    Jiang, Ying
    MODERN PHYSICS LETTERS B, 2020, 34 (18):
  • [9] Rogue wave solutions for the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch system
    Guo, Rui
    Jia, Rong-Rong
    APPLIED MATHEMATICS LETTERS, 2020, 105
  • [10] Backlund transformations, nonlocal symmetry and exact solutions of a generalized (2+1)-dimensional Korteweg-de Vries equation
    Zhao, Zhonglong
    CHINESE JOURNAL OF PHYSICS, 2021, 73 : 695 - 705
12345