Dynamics of shallow water waves with Boussinesq equation

被引：42
|
作者：
Jawad, A. J. M. [1 ]
Petkovic, M. D. [2 ]
Laketa, P. [2 ]
Biswas, A. [3 ]
机构：
[1] Al Rafidain Univ Coll, Dept Comp Engn Tech, Baghdad 00964, Iraq
[2] Univ Nis, Dept Math & Comp Sci, Fac Sci & Math, Nish 18000, Serbia
[3] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
来源：
SCIENTIA IRANICA | 2013年 / 20卷 / 01期
关键词：
Nonlinear PDEs; Exact solutions; Tanh method; Boussinesq equations; 1-soliton solution; PARTIAL-DIFFERENTIAL-EQUATIONS; SOLITON-SOLUTIONS; BURGERS; KDV;
D O I：
10.1016/j.scient.2012.12.011
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper obtains the solitary wave solutions of two different forms of Boussinesq equations that model the study of shallow water waves in lakes and ocean beaches. The tanh method is applied to solve the governing equations. The travelling wave hypothesis is also utilized to solve the generalized case of coupled Boussinesq equations, and, thus, an exact 1-soliton solution is obtained. The results are also supported by numerical simulations. (C) 2013 Sharif University of Technology. Production and hosting by Elsevier B.V. All rights reserved.
引用
收藏
页码：179 / 184
页数：6
相关论文
共 50 条
  • [1] The Numerical Solution of Boussinesq Equation for Shallow Water Waves
    Patel, Prashant
    Kumar, Prashant
    Rajni
    [J]. ADVANCEMENTS IN MATHEMATICS AND ITS EMERGING AREAS, 2020, 2214
  • [2] Dynamics of Shallow Water Waves with Various Boussinesq Equations
    Kumar, H.
    Malik, A.
    Gautam, M. Singh
    Chand, F.
    [J]. ACTA PHYSICA POLONICA A, 2017, 131 (02) : 275 - 282
  • [3] SHALLOW WATER WAVES MODELED BY THE BOUSSINESQ EQUATION HAVING LOGARITHMIC NONLINEARITY
    Biswas, Anjan
    Kara, Abdul H.
    Moraru, Luminita
    Triki, Houria
    Moshokoa, Seithuti P.
    [J]. PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2017, 18 (02): : 144 - 149
  • [4] Dynamics of shallow water waves with kawahara equation
    El-Akrmi, Soumaya
    Toumi, Salah
    El-Akrmi, Abdulssetar
    Suarez, Pablo
    Triki, Houria
    Biswas, Anjan
    Belic, Milivoj R.
    [J]. Journal of Computational and Theoretical Nanoscience, 2015, 12 (12) : 5577 - 5586
  • [5] On a class of Boussinesq equations for shallow water waves
    Daripa, P
    Dash, RK
    [J]. COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2003, PT 2, PROCEEDINGS, 2003, 2668 : 764 - 773
  • [6] Lump dynamics of a generalized two-dimensional Boussinesq equation in shallow water
    Lu, Xing
    Wang, Jian-Ping
    Lin, Fu-Hong
    Zhou, Xian-Wei
    [J]. NONLINEAR DYNAMICS, 2018, 91 (02) : 1249 - 1259
  • [7] Lump dynamics of a generalized two-dimensional Boussinesq equation in shallow water
    Xing Lü
    Jian-Ping Wang
    Fu-Hong Lin
    Xian-Wei Zhou
    [J]. Nonlinear Dynamics, 2018, 91 : 1249 - 1259
  • [8] A BOUSSINESQ MODEL FOR WAVES BREAKING IN SHALLOW-WATER
    SCHAFFER, HA
    MADSEN, PA
    DEIGAARD, R
    [J]. COASTAL ENGINEERING, 1993, 20 (3-4) : 185 - 202
  • [9] BOUSSINESQ EQUATION ON WATER-SURFACE WAVES
    KANO, T
    NISHIDA, T
    [J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1985, 61 (04) : 91 - 94
  • [10] Mathematical Modeling of Regular and Irregular Shallow Water Waves Using Boussinesq Equation with Improved Dispersion
    Kumar, Prashant
    Vinita
    Rupali
    [J]. INDIAN JOURNAL OF PURE & APPLIED PHYSICS, 2021, 59 (03) : 233 - 238
12345