Breather solutions of modified Benjamin–Bona–Mahony equation

被引：0
|
作者：
Adamashvili G.T. [1 ]
机构：
[1] Technical University of Georgia, Kostava Street 77, Tbilisi
来源：
Chinese Physics B | 2021年 / 30卷 / 02期
关键词：
Generalized perturbation reduction method; Modified Benjamin–Bona–Mahony equation; Nonlinear waves; Vector breather;
D O I：
10.1088/1674-1056/abc09d
中图分类号：
学科分类号：
摘要：
New two-component vector breather solution of the modified Benjamin–Bona–Mahony (MBBM) equation is considered. Using the generalized perturbation reduction method, the MBBM equation is reduced to the coupled nonlinear Schrödinger equations for auxiliary functions. Explicit analytical expressions for the profile and parameters of the vector breather oscillating with the sum and difference of the frequencies and wavenumbers are presented. The two-component vector breather and single-component scalar breather of the MBBM equation is compared. © 2021 Institute of Physics Publishing. All rights reserved.
引用
收藏
相关论文
共 50 条
  • [1] Breather solutions of modified Benjamin–Bona–Mahony equation
    G T Adamashvili
    Chinese Physics B, 2021, (02) : 257 - 263
  • [2] New Exact Solutions of the Modified Benjamin-Bona-Mahony Equation
    Yang, Yun-jie
    Yao, Li
    INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND COMPUTER SCIENCE (AICS 2016), 2016, : 113 - 118
  • [3] Nonlinear wave solutions and their relations for the modified Benjamin–Bona–Mahony equation
    Ming Song
    Nonlinear Dynamics, 2015, 80 : 431 - 446
  • [4] Some new solitonary solutions of the modified Benjamin-Bona-Mahony equation
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Waheed, Asif
    Al-Said, Eisa A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (04) : 2126 - 2131
  • [5] On the analytical and numerical solutions of the Benjamin–Bona–Mahony equation
    Asif Yokus
    Tukur Abdulkadir Sulaiman
    Hasan Bulut
    Optical and Quantum Electronics, 2018, 50
  • [6] Nonlinear wave solutions and their relations for the modified Benjamin-Bona-Mahony equation
    Song, Ming
    NONLINEAR DYNAMICS, 2015, 80 (1-2) : 431 - 446
  • [7] Exact Solutions of the Nonlinear Modified Benjamin-Bona-Mahony Equation by an Analytical Method
    Alotaibi, Trad
    Althobaiti, Ali
    FRACTAL AND FRACTIONAL, 2022, 6 (07)
  • [8] The traveling wave solutions for generalized Benjamin–Bona–Mahony equation
    XiaoHua Liu
    The European Physical Journal Plus, 139
  • [9] Exact Solutions of the Generalized Benjamin-Bona-Mahony Equation
    Liu, Xun
    Tian, Lixin
    Wu, Yuhai
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
  • [10] On the Solutions of the Space and Time Fractional Benjamin–Bona–Mahony Equation
    M. Mirzazadeh
    Mehmet Ekici
    A. Sonmezoglu
    Iranian Journal of Science and Technology, Transactions A: Science, 2017, 41 : 819 - 836
12345