Breather Wave Solutions and Interaction Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations

被引:5
|
作者
Ma, Hongcai [1 ,2 ]
Zhang, Caoyin [1 ]
Deng, Aiping [1 ,2 ]
机构
[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
[2] Donghua Univ, Inst Nonlinear Sci, Shanghai 201620, Peoples R China
基金
中国国家自然科学基金;
关键词
DE-VRIES EQUATION; SOLITON-SOLUTIONS; LUMP SOLUTIONS; RATIONAL SOLUTIONS; ROGUE WAVE;
D O I
10.1155/2020/1458280
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, based on a bilinear differential equation, we study the breather wave solutions by employing the extended homoclinic test method. By constructing the different forms, we also consider the interaction solutions. Furthermore, it is natural to analyse dynamic behaviors of three-dimensional plots.
引用
收藏
页数:10
相关论文
共 50 条
  • [21] Exact analytical solutions of the generalized Calogero-Bogoyavlenskii-Schiff equation using symbolic computation
    Biao, D
    Chen, Y
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2004, 54 (05) : 517 - 528
  • [22] Novel Categories Of Analytical Solutions To The Calogero-Bogoyavlenskii-Schiff Equation Through An Efficient Technique
    Ran, Jing
    JOURNAL OF APPLIED SCIENCE AND ENGINEERING, 2023, 26 (10): : 1417 - 1426
  • [23] Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation
    Qin, Chun-Yan
    Tian, Shou-Fu
    Zou, Li
    Ma, Wen-Xiu
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2018, 10 (04) : 948 - 977
  • [24] Meromorphic exact solutions of the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
    Aminakbari, Najva
    Gu, Yongyi
    Yuan, Wenjun
    OPEN MATHEMATICS, 2020, 18 : 1342 - 1351
  • [25] Quasi-periodic wave solutions for the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff (CBS) equation
    Wang, Jun-min
    Yang, Xiao
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2256 - 2261
  • [26] New lump solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
    Zhou, Yuan
    Zhang, Xiaojing
    Zhang, Chao
    Jia, Junjing
    Ma, Wen-Xiu
    APPLIED MATHEMATICS LETTERS, 2023, 141
  • [27] General M-lump, high-order breather, and localized interaction solutions to (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
    Hongcai Ma
    Yunxiang Bai
    Aiping Deng
    Frontiers of Mathematics, 2022, 17 : 943 - 960
  • [28] An extended (3+1)-dimensional Bogoyavlensky-Konopelchenko equation: Pfaffian solutions and nonlinear wave interactions
    Shen, Yuan
    NONLINEAR DYNAMICS, 2025, : 8891 - 8904
  • [29] Abundant fission and fusion solutions in the (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
    Li, Yuhan
    An, Hongli
    Zhang, Yiyuan
    NONLINEAR DYNAMICS, 2022, 108 (03) : 2489 - 2503
  • [30] General M-lump, high-order breather, and localized interaction solutions to (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
    Ma, Hongcai
    Bai, Yunxiang
    Deng, Aiping
    FRONTIERS OF MATHEMATICS IN CHINA, 2022, 17 (05) : 943 - 960