Numerical investigation for the solitary waves interaction of the good Boussinesq equation

被引:0
|
作者
El-Zoheiry, H. [1 ]
机构
[1] Dept. of Eng. Math. and Physics, Faculty of Engineering, Cairo University, Giza, Egypt
来源
关键词
Boundary conditions - Finite element method - Iterative methods - Linearization - Numerical methods - Problem solving - Water waves;
D O I
暂无
中图分类号
学科分类号
摘要
The good Boussinesq equation is studied numerically using an iterative implicit finite-difference scheme. The stability and accuracy of the proposed method are discussed. Soliton solutious are shown to exist for a finite range of amplitude size. The features of break-up and blow-up of solution are also witnessed. The reported results are in conformity with the available results.
引用
下载
收藏
页码:1069 / 1083
相关论文
共 50 条
  • [31] Orbital stability of solitary waves for generalized Boussinesq equation with two nonlinear terms
    Zhang, Weiguo
    Li, Xiang
    Li, Shaowei
    Chen, Xu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 59 : 629 - 650
  • [32] A numerical investigation of oscillatory interfacial solitary waves
    Michallet, H
    Barthelemy, E
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (06) : 1834 - 1836
  • [33] Numerical investigation of breaking internal solitary waves
    la Forgia, Giovanni
    Tokyay, Talia
    Adduce, Claudia
    Constantinescu, George
    PHYSICAL REVIEW FLUIDS, 2018, 3 (10):
  • [34] A Numerical Study of the Stability of Solitary Waves of the Bona–Smith Family of Boussinesq Systems
    V. A. Dougalis
    A. Durán
    M. A. López-Marcos
    D. E. Mitsotakis
    Journal of Nonlinear Science, 2007, 17 : 569 - 607
  • [35] The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation
    Kaya, D
    PHYSICS LETTERS A, 2006, 348 (3-6) : 244 - 250
  • [36] A second order operator splitting numerical scheme for the "good" Boussinesq equation
    Zhang, Cheng
    Wang, Hui
    Huang, Jingfang
    Wang, Cheng
    Yue, Xingye
    APPLIED NUMERICAL MATHEMATICS, 2017, 119 : 179 - 193
  • [37] A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation
    Dehghan, Mehdi
    Salehi, Rezvan
    APPLIED MATHEMATICAL MODELLING, 2012, 36 (05) : 1939 - 1956
  • [38] ON THE PERIODIC "GOOD" BOUSSINESQ EQUATION
    Farah, Luiz Gustavo
    Scialom, Marcia
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (03) : 953 - 964
  • [39] Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation
    Wang, Hui
    Tian, Shou-Fu
    Chen, Yi
    Zhang, Tian-Tian
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (11) : 2178 - 2190
  • [40] NUMERICAL STUDY OF REGULARIZED LONG-WAVE EQUATION .2. INTERACTION OF SOLITARY WAVES
    EILBECK, JC
    MCGUIRE, GR
    JOURNAL OF COMPUTATIONAL PHYSICS, 1977, 23 (01) : 63 - 73