Optical Soliton in Nonlocal Nonlinear Medium with Cubic-Quintic Nonlinearities and Spatio-Temporal Dispersion

被引:11
作者
Zhou, Qin [1 ]
Kumar, D. [2 ,3 ]
Mirzazadeh, M. [4 ]
Eslami, M. [5 ]
Rezazadeh, H. [6 ]
机构
[1] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Hubei, Peoples R China
[2] Univ Tsukuba, Grad Sch Syst & Informat Engn, Tennodai 1-1-1, Tsukuba, Ibaraki, Japan
[3] Bangabandhu Sheikh Mujibur Rahman Sci & Technol U, Dept Math, Gopalganj 8100, Bangladesh
[4] Univ Guilan, Dept Engn Sci, Fac Engn & Technol, Rudsar Vajargah 4489163157, Iran
[5] Univ Mazandaran, Dept Math, Fac Math Sci, Babol Sar, Iran
[6] Amol Univ Special Modern Technol, Fac Modern Technol Engn, Amol, Iran
基金
中国国家自然科学基金;
关键词
TRAVELING-WAVE SOLUTIONS; POWER-LAW; EQUATIONS;
D O I
10.12693/APhysPolA.134.1204
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this article, we have constructed some new soliton solutions of the nonlocal nonlinear medium equation via three reliable approaches. The executed approaches are modified Kudryashov method, sinh-Gordon equation expansion method and extended sinh-Gordon equation expansion method. In this case, there are three types of competing nonlinearities that are taken into account in our model. They are nonlocal nonlinearity, cubic nonlinearity, and quintic nonlinearity. By means of the aforementioned methods, dark, bright, combined dark-bright, singular, combined singular, periodic, and other soliton solutions are obtained from the nonlocal nonlinear medium equation, and their respective existence conditions.
引用
收藏
页码:1204 / 1210
页数:7
相关论文
共 18 条
[1]   Dark, bright and other soliton solutions to the Heisenberg ferromagnetic spin chain equation [J].
Bulut, Hasan ;
Sulaiman, Tukur Abdulkadir ;
Baskonus, Haci Mehmet .
SUPERLATTICES AND MICROSTRUCTURES, 2018, 123 :12-19
[2]   On the solitary wave solutions to the longitudinal wave equation in MEE circular rod [J].
Bulut, Hasan ;
Sulaiman, Tukur Abdulkadir ;
Baskonus, Haci Mehmet .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (02)
[3]   Solitons in optical metamaterials with fractional temporal evolution [J].
Ekici, Mehmet ;
Mirzazadeh, Mohammad ;
Zhou, Qin ;
Moshokoa, Seithuti P. ;
Biswas, Anjan ;
Belic, Milivoj .
OPTIK, 2016, 127 (22) :10879-10897
[4]   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
[5]  
Hosseini K, 2017, OPT QUANT ELECTRON, V49, DOI 10.1007/s11082-017-0968-9
[6]   Modified Kudryashov method and its application to the fractional version of the variety of Boussinesq-like equations in shallow water [J].
Kumar, D. ;
Darvishi, M. T. ;
Joardar, A. K. .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (03)
[7]   The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzeica type equations in nonlinear optics [J].
Kumar, D. ;
Hosseini, K. ;
Samadani, F. .
OPTIK, 2017, 149 :439-446
[8]   New closed form soliton and other solutions of the Kundu-Eckhaus equation via the extended sinh-Gordon equation expansion method [J].
Kumar, Dipankar ;
Manafian, Jalil ;
Hawlader, Faisal ;
Ranjbaran, Arash .
OPTIK, 2018, 160 :159-167
[9]   Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology [J].
Kumar, Dipankar ;
Seadawy, Aly R. ;
Joardar, Atish Kumar .
CHINESE JOURNAL OF PHYSICS, 2018, 56 (01) :75-85
[10]   On new complex soliton structures of the nonlinear partial differential equation describing the pulse narrowing nonlinear transmission lines [J].
Kumar, Dipankar ;
Seadawy, Aly R. ;
Chowdhury, Raju .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (02)