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：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2018年 / 23卷 / 06期
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
  • [1] Gaussian solitary waves for the logarithmic Boussinesq equation and the logarithmic regularized Boussinesq equation
    Wazwaz, Abdul-Majid
    OCEAN ENGINEERING, 2015, 94 : 111 - 115
  • [2] SHALLOW WATER WAVES MODELED BY THE BOUSSINESQ EQUATION HAVING LOGARITHMIC NONLINEARITY
    Biswas, Anjan
    Kara, Abdul H.
    Moraru, Luminita
    Triki, Houria
    Moshokoa, Seithuti P.
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2017, 18 (02): : 144 - 149
  • [3] Solitons, Shock Waves, Conservation Laws and Bifurcation Analysis of Boussinesq Equation with Power Law Nonlinearity and Dual Dispersion
    Biswas, Anjan
    Song, Ming
    Triki, Houria
    Kara, Abdul H.
    Ahmed, Bouthina S.
    Strong, Andre
    Hama, Amadou
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (03): : 949 - 957
  • [4] A generalized nonlinear Schrödinger equation with logarithmic nonlinearity and its Gaussian solitary wave
    Hosseini, K.
    Alizadeh, F.
    Hincal, E.
    Kaymakamzade, B.
    Dehingia, K.
    Osman, M. S.
    OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (06)
  • [5] Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion
    Ekici, M.
    Mirzazadeh, M.
    Eslami, M.
    NONLINEAR DYNAMICS, 2016, 84 (02) : 669 - 676
  • [6] Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion
    M. Ekici
    M. Mirzazadeh
    M. Eslami
    Nonlinear Dynamics, 2016, 84 : 669 - 676
  • [7] ORBITAL STABILITY OR INSTABILITY OF SOLITARY WAVES TO GENERALIZED BOUSSINESQ EQUATION WITH QUADRATIC-CUBIC NONLINEARITY
    Dimova, Milena
    Kolkovska, Natalia
    Kutev, Nikolay
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2018, 71 (08): : 1011 - 1019
  • [8] Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion
    Shan Zheng
    Zhengyong Ouyang
    Kuilin Wu
    Advances in Difference Equations, 2019
  • [9] Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion
    Zheng, Shan
    Ouyang, Zhengyong
    Wu, Kuilin
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [10] Solitary waves in the nonlinear Schrodinger equation with Hermite-Gaussian modulation of the local nonlinearity
    Zhong, Wei-Ping
    Belic, Milivoj R.
    Malomed, Boris A.
    Huang, TingWen
    PHYSICAL REVIEW E, 2011, 84 (04):
12345