The traveling wave solutions for generalized Benjamin-Bona-Mahony equation

被引：0
|
作者：
Liu, Xiaohua [1 ]
机构：
[1] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2024年 / 139卷 / 03期
基金：
中国国家自然科学基金;
关键词：
BOUNDARY-VALUE-PROBLEM; DE-VRIES EQUATION; KDV-TYPE EQUATIONS; PERIOD FUNCTION; DIFFERENCE-SCHEMES; GLOBAL EXISTENCE; STABILITY; MODEL; INSTABILITY; SOLITONS;
D O I：
10.1140/epjp/s13360-024-04951-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The traveling wave solutions of generalized BBM equation with any power are investigated. The existence and numbers of bell solitary wave solutions, kink solitary wave solutions and periodic wave solutions are obtained by using qualitative theory of planar dynamical system. The new exact expressions of peaked light solitary wave solutions, valley dark solitary wave solutions and kink solitary wave solutions are given by the method of undetermined coefficient. Further, by numerical simulating, the behavior of these exact traveling solutions are analyzed. In visually, we verify that the result about existence of traveling wave solutions for generalized BBM equation is right. Moreover, the convexity, monotonicity and number of critical points for period solutions of generalized BBM equation have been discussed. The integral expressions and corresponding orbit curves of period solutions are studied.
引用
收藏
页数：22
相关论文
共 50 条
  • [41] WELL-POSEDNESS OF BOUNDARY-VALUE PROBLEMS FOR THE LINEAR BENJAMIN-BONA-MAHONY EQUATION
    Vasan, Vishal
    Deconinck, Bernard
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (07) : 3171 - 3188
  • [42] A Modified Runge–Kutta Scheme for the Generalized Benjamin–Bona–Mahony–Burgers Equation
    Qiubin Xu
    Yan Liu
    Computational Mathematics and Mathematical Physics, 2023, 63 : 1362 - 1370
  • [43] Backward Controller of a Pullback Attractor for Delay Benjamin-Bona-Mahony Equations
    Zhang, Qiangheng
    Li, Yangrong
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2020, 26 (03) : 423 - 441
  • [44] Generalized Exp-Function Method to Find Closed Form Solutions of Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation Defined by Seismic Sea Waves
    Shakeel, Muhammad
    Attaullah
    El-Zahar, Essam Roshdy
    Shah, Nehad Ali
    Chung, Jae Dong
    MATHEMATICS, 2022, 10 (07)
  • [45] Dispersive soliton solutions for shallow water wave system and modified Benjamin-Bona-Mahony equations via applications of mathematical methods
    Ali, Asghar
    Seadawy, Aly R.
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2021, 6 (01) : 85 - 98
  • [46] Taylor wavelet collocation method for Benjamin-Bona-Mahony partial differential equations
    Shiralashetti, S. C.
    Hanaji, S., I
    RESULTS IN APPLIED MATHEMATICS, 2021, 9 (09):
  • [47] New Explicit Solutions For Zakharov-Kuznetsov-Benjamin-Bona-Mahony Equation
    Ren, Yue
    JOURNAL OF APPLIED SCIENCE AND ENGINEERING, 2023, 27 (06): : 2683 - 2690
  • [48] Lump waves and breather waves for a (3+1)-dimensional generalized Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation for an offshore structure
    Yin, Ying
    Tian, Bo
    Wu, Xiao-Yu
    Yin, Hui-Min
    Zhang, Chen-Rong
    MODERN PHYSICS LETTERS B, 2018, 32 (10):
  • [49] Dynamics of a 3D Benjamin-Bona-Mahony equations with sublinear operator
    Zhao, Mingxia
    Yang, Xin-Guang
    Yan, Xingjie
    Cui, Xiaona
    ASYMPTOTIC ANALYSIS, 2020, 121 (01) : 75 - 100
  • [50] A High-Order Method with a Temporal Nonuniform Mesh for a Time-Fractional Benjamin-Bona-Mahony Equation
    Lyu, Pin
    Vong, Seakweng
    JOURNAL OF SCIENTIFIC COMPUTING, 2019, 80 (03) : 1607 - 1628
12345