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：
Journal of Engineering and Applied Science | 2001年 / 48卷 / 06期
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
收藏
页码：1069 / 1083
相关论文
共 50 条
  • [21] Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation
    Biswas, Anjan
    Vega-Guzman, Jose
    Bansal, Anupma
    Kara, Abdul H.
    Aphane, Maggie
    Yildirim, Yakup
    Alshehri, Hashim M.
    PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2023, 72 (01) : 17 - 29
  • [22] Stability of Solitary Waves for the Generalized Higher-Order Boussinesq Equation
    Amin Esfahani
    Steven Levandosky
    Journal of Dynamics and Differential Equations, 2012, 24 : 391 - 425
  • [23] NUMERICAL SIMULATION FOR SOLITARY WAVES OF RLW EQUATION
    XU Zhen-li
    Journal of Hydrodynamics(SerB)., 2004, (02) : 130 - 135
  • [24] Numerical approximation of solitary waves of the Benjamin equation
    Dougalis, V. A.
    Duran, A.
    Mitsotakis, D. E.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2016, 127 : 56 - 79
  • [25] NUMERICAL SIMULATION FOR SOLITARY WAVES OF RLW EQUATION
    Xu Zhen-li
    Liu Ru-xun
    JOURNAL OF HYDRODYNAMICS, 2004, 16 (02) : 130 - 135
  • [26] On Some Boussinesq/Full Dispersion Systems for Internal Waves: Numerical Solution and Solitary Waves
    Vassilios A. Dougalis
    Angel Duran
    Leetha Saridaki
    Water Waves, 2022, 4 : 193 - 237
  • [27] On Some Boussinesq/Full Dispersion Systems for Internal Waves: Numerical Solution and Solitary Waves
    Dougalis, Vassilios A.
    Duran, Angel
    Saridaki, Leetha
    WATER WAVES, 2022, 4 (02) : 193 - 237
  • [28] Numerical investigation of the interaction of highly nonlinear solitary waves with corroded steel plates
    Jalali, Hoda
    Rizzo, Piervincenzo
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2021, 208
  • [29] Interaction of solitary waves for the generalized KdV equation
    Garcia Alvarado, Martin G.
    Omel'yanov, Georgii A.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (08) : 3204 - 3218
  • [30] Numerical investigation of fractional-fractal Boussinesq equation
    Yadav, Mahaveer Prasad
    Agarwal, Ritu
    CHAOS, 2019, 29 (01)
12345