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

被引：12
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 23 条
[1]   A new technique for non-linear two-dimensional wave equations [J].
Biazar, J. ;
Eslami, M. .
SCIENTIA IRANICA, 2013, 20 (02) :359-363
[2]  
Biswas A, 2017, P ROMANIAN ACAD A, V18, P144
[3]  
Collins T, 2016, ROM REP PHYS, V68, P943
[4]   Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion [J].
Ekici, M. ;
Mirzazadeh, M. ;
Eslami, M. .
NONLINEAR DYNAMICS, 2016, 84 (02) :669-676
[5]   Solitons in magneto-optic waveguides by extended trial function scheme [J].
Ekici, Mehmet ;
Zhou, Qin ;
Sonmezoglu, Abdullah ;
Moshokoa, Seithuti P. ;
Ullah, Malik Zaka ;
Biswas, Anjan ;
Belic, Milivoj .
SUPERLATTICES AND MICROSTRUCTURES, 2017, 107 :197-218
[6]   Nematicons in liquid crystals by extended trial equation method [J].
Ekici, Mehmet ;
Mirzazadeh, Mohammad ;
Sonmezoglu, Abdullah ;
Ullah, Malik Zaka ;
Zhou, Qin ;
Moshokoa, Seithuti P. ;
Biswas, Anjan ;
Belic, Milivoj .
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2017, 26 (01)
[7]  
Eslami M, 2016, NONLINEAR DYNAM, V85, P813, DOI 10.1007/s11071-016-2724-2
[8]   Optical solitons with Biswas-Milovic equation for power law and dual-power law nonlinearities [J].
Eslami, M. ;
Mirzazadeh, M. .
NONLINEAR DYNAMICS, 2016, 83 (1-2) :731-738
[9]   First integral method to look for exact solutions of a variety of Boussinesq-like equations [J].
Eslami, M. ;
Mirzazadeh, M. .
OCEAN ENGINEERING, 2014, 83 :133-137
[10]   New exact solutions for higher order nonlinear Schrodinger equation in optical fibers [J].
Eslami, Mostafa ;
Neirameh, Ahmad .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)
123