ANALYTICAL SOLITARY WAVE SOLUTIONS FOR THE NONLINEAR ANALOGUES OF THE BOUSSINESQ AND SIXTH-ORDER MODIFIED BOUSSINESQ EQUATIONS

被引:0
|
作者
Amirov, Sherif [1 ]
Anutgan, Mustafa [2 ]
机构
[1] Karabuk Univ, Sci Fac, Math Dept, TR-78050 Karabuk, Turkey
[2] Karabuk Univ, Technol Fac, Mechatron Engn Dept, TR-78050 Karabuk, Turkey
来源
关键词
Nonlinear sixth-order modified Boussinesq equation; Tanh function method; Polynomial function method; ZAKHAROV-KUZNETSOV EQUATION; ION-ACOUSTIC-WAVES; STABILITY ANALYSIS; WATER;
D O I
10.11948/2017098
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using tanh function and polynomial function methods, analytical solitary wave solutions have been found for the nonlinear analogues of Boussinesq and sixth-order modified Boussinesq equations where the nonlinearity is in the time-derivative term.
引用
收藏
页码:1613 / 1623
页数:11
相关论文
共 50 条
  • [21] A BILINEAR ESTIMATE WITH APPLICATION TO THE SIXTH-ORDER BOUSSINESQ EQUATION
    Esfahani, Amin
    Wang, Hongwei
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2014, 27 (5-6) : 401 - 414
  • [22] Global existence and blowup of solutions for the multidimensional sixth-order “good” Boussinesq equation
    Xu Runzhang
    Yang Yanbing
    Liu Bowei
    Shen Jihong
    Huang Shaobin
    Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 955 - 976
  • [23] Well-Posedness of Solutions for the Sixth-Order Boussinesq Equation with Linear Strong Damping and Nonlinear Source
    Zhou, Jun
    Zhang, Huan
    JOURNAL OF NONLINEAR SCIENCE, 2021, 31 (05)
  • [24] EXISTENCE AND BLOW-UP OF SOLUTIONS FOR THE SIXTH-ORDER DAMPED BOUSSINESQ EQUATION
    Wang, Y.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (05): : 1057 - 1071
  • [25] Global existence and blowup of solutions for the multidimensional sixth-order "good" Boussinesq equation
    Xu Runzhang
    Yang Yanbing
    Liu Bowei
    Shen Jihong
    Huang Shaobin
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (03): : 955 - 976
  • [26] GLOBAL EXISTENCE AND POINTWISE ESTIMATES OF SOLUTIONS FOR THE GENERALIZED SIXTH-ORDER BOUSSINESQ EQUATION
    Guo, Changhong
    Fang, Shaomei
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2017, 15 (05) : 1457 - 1487
  • [27] Well-Posedness of Solutions for the Sixth-Order Boussinesq Equation with Linear Strong Damping and Nonlinear Source
    Jun Zhou
    Huan Zhang
    Journal of Nonlinear Science, 2021, 31
  • [28] Symmetry reductions, integrability and solitary wave solutions to high-order modified Boussinesq equations with damping term
    Yan, ZY
    Xie, FD
    Zhang, HQ
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2001, 36 (01) : 1 - 6
  • [29] Solitary wave solutions of three special types of Boussinesq equations
    Shabnam Jamshidzadeh
    Reza Abazari
    Nonlinear Dynamics, 2017, 88 : 2797 - 2805
  • [30] Solitary wave solutions of the one-dimensional Boussinesq equations
    D. G. Natsis
    Numerical Algorithms, 2007, 44 : 281 - 289