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
  • [11] New exact solutions for a Benjamin-Bona-Mahony equation
    Bruzon, Maria S.
    Gandarias, Maria L.
    PROCEEDINGS OF THE 7TH WSEAS INTERNATIONAL CONFERENCE ON SYSTEM SCIENCE AND SIMULATION IN ENGINEERING (ICOSSSE '08): RECENT ADVANCES IN SYSTEMS SCIENCE AND SIMULATION IN ENGINEERING, 2008, : 189 - +
  • [12] ON THE DECAY OF SOLUTIONS OF THE GENERALIZED BENJAMIN-BONA-MAHONY EQUATION
    ALBERT, J
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 141 (02) : 527 - 537
  • [13] Quasi-doubly periodic solutions of the modified BenJamin-Bona-Mahony equation
    Abdel-Salam, E. A-B.
    Al-Muhiameed, Z. I. A.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2011, 21 (J11): : 42 - 51
  • [14] On Exact Solutions of the Oskolkov–Benjamin–Bona–Mahony–Burgers Equation
    A. I. Aristov
    Computational Mathematics and Mathematical Physics, 2018, 58 : 1792 - 1803
  • [15] On special properties of solutions to the Benjamin-Bona-Mahony equation
    Hong, Christian
    Ponce, Gustavo
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 393 : 321 - 342
  • [16] Exact solutions to a generalized Benjamin-Bona-Mahony equation
    Chen, Jing
    Lai, Shaoyong
    Qing, Yin
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE 2007), 2007,
  • [17] On the analytical and numerical solutions of the Benjamin-Bona-Mahony equation
    Yokus, Asif
    Sulaiman, Tukur Abdulkadir
    Bulut, Hasan
    OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)
  • [18] On the solitary wave solutions of modified Benjamin–Bona–Mahony equation for unidirectional propagation of long waves
    A K Gupta
    J Hazarika
    Pramana, 2020, 94
  • [19] The traveling wave solutions for generalized Benjamin-Bona-Mahony equation
    Liu, Xiaohua
    EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (03):
  • [20] On the Solutions of the Space and Time Fractional Benjamin-Bona-Mahony Equation
    Mirzazadeh, M.
    Ekici, Mehmet
    Sonmezoglu, A.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A3): : 819 - 836
12345