Solitons, Breathers, and Lump Solutions to the (2+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation

被引：15
|
作者：
Ma, Hongcai [1 ,2 ]
Cheng, Qiaoxin [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
来源：
COMPLEXITY | 2021年 / 2021卷
基金：
中国国家自然科学基金;
关键词：
KADOMTSEV-PETVIASHVILI EQUATION; DE-VRIES EQUATION; TANH-COTH METHOD; ROGUE WAVE; SOLITARY WAVES; BACKLUND TRANSFORMATION; DARBOUX TRANSFORMATION; MULTISOLITON SOLUTIONS; LOCALIZED WAVES; KDV;
D O I：
10.1155/2021/7264345
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a generalized (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers can be obtained by choosing suitable parameters on the 2-soliton solution, and lump solutions are constructed via the long wave limit method. Figures are given out to reveal the dynamic characteristics on the presented solutions. Results obtained in this work may be conducive to understanding the propagation of localized waves.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation
    Chen, Shou-Ting
    Ma, Wen-Xiu
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (07) : 1680 - 1685
  • [2] 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
  • [3] 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
  • [4] 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
  • [5] Residual Symmetry and Interaction Solutions of the (2+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation
    Li, Jie-tong
    Liu, Xi-zhong
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2024, 31 (01)
  • [6] The Calogero-Bogoyavlenskii-Schiff equation in 2+1 dimensions
    Bruzón, MS
    Gandarias, ML
    Muriel, C
    Ramírez, J
    Saez, S
    Romero, FR
    THEORETICAL AND MATHEMATICAL PHYSICS, 2003, 137 (01) : 1367 - 1377
  • [7] 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
  • [8] A study on the (2+1)-dimensional first extended Calogero-Bogoyavlenskii-Schiff equation
    Khalique, Chaudry Masood
    Maefo, Kentse
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (05) : 5816 - 5835
  • [9] New infinite sequence soliton-like solutions of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
    Taogetusang
    ACTA PHYSICA SINICA, 2013, 62 (21)
  • [10] Infinitely many symmetries and symmetry reduction of (2+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
    Zhang Huan-Ping
    Chen Yong
    Li Biao
    ACTA PHYSICA SINICA, 2009, 58 (11) : 7393 - 7396
12345