Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity

被引:11
|
作者
Biswas, Anjan [1 ,2 ,3 ]
Ekici, Mehmet [4 ]
Sonmezoglu, Abdullah [4 ]
机构
[1] Alabama A&M Univ, Dept Phys Chem & Math, Normal, AL 35762 USA
[2] Al Imam Mohammad Ibn Saud Islamic Univ, Dept Math & Stat, Coll Sci, Riyadh 13318, Saudi Arabia
[3] Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa
[4] Yozgat Bozok Univ, Fac Sci & Arts, Dept Math, TR-66100 Yozgat, Turkey
来源
关键词
Gaussons; Boussinesq equation; logarithmic nonlinearity; SHALLOW-WATER WAVES; OPTICAL SOLITONS;
D O I
10.15388/NA.2018.6.8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper discusses shallow water waves that is modeled with Boussinesq equation that comes with dual dispersion and logarithmic nonlinearity. The extended trial function scheme retrieves exact Gaussian solitary wave solutions to the model.
引用
收藏
页码:942 / 950
页数:9
相关论文
共 50 条
  • [41] THE QUALITATIVE BEHAVIOR FOR ONE-DIMENSIONAL SIXTH-ORDER BOUSSINESQ EQUATION WITH LOGARITHMIC NONLINEARITY
    Han, Zhuang
    Xu, Runzhang
    Yang, Yanbing
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023,
  • [42] GLOBAL EXISTENCE OF SMOOTH SOLUTIONS AND STABILITY OF SOLITARY WAVES FOR A GENERALIZED BOUSSINESQ EQUATION
    BONA, JL
    SACHS, RL
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 118 (01) : 15 - 29
  • [43] 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
  • [44] PLANAR TRAVELING WAVES FOR NONLOCAL DISPERSION EQUATION WITH MONOSTABLE NONLINEARITY
    Huang, Rui
    Mei, Ming
    Wang, Yong
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (10) : 3621 - 3649
  • [45] Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity
    Tang Minying
    Wang Ruiqi
    Jing Zhujun
    Science in China Series A: Mathematics, 2002, 45 (10): : 1255 - 1267
  • [46] Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity
    唐民英
    王瑞琦
    井竹君
    Science China Mathematics, 2002, (10) : 1255 - 1267
  • [47] Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity
    Tang, MY
    Wang, RQ
    Jing, ZJ
    SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 45 (10): : 1255 - 1267
  • [48] Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity
    唐民英
    王瑞琦
    井竹君
    ScienceinChina,SerA., 2002, Ser.A.2002 (10) : 1255 - 1267
  • [49] Solitary waves in the nonlinear Schrodinger equation with spatially modulated Bessel nonlinearity
    Zhong, Wei-Ping
    Belic, Milivoj R.
    Huang, Tingwen
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2013, 30 (05) : 1276 - 1283
  • [50] SPECTRAL STABILITY AND INSTABILITY OF SOLITARY WAVES OF THE DIRAC EQUATION WITH CONCENTRATED NONLINEARITY
    Boussaid, Nabile
    Cacciapuoti, Claudio
    Carlone, Raffaele
    Comech, Andrew
    Noja, Diego
    Posilicano, Andrea
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (10) : 3029 - 3067