Optical solutions of cold bosonic atoms in a zig-zag optical lattice

被引：16

作者：

Tala-Tebue, Eric ^{[1
]}

Rezazadeh, Hadi ^{[2
]}

Djoufack, Zacharie Isidore ^{[1
]}

Eslam, Mostafa ^{[3
]}

Kenfack-Jiotsa, Aurelien ^{[4
]}

Bekir, Ahmet ^{[5
]}

机构：

[1] Univ Dschang, Lab Automat & Informat Appl LAIA, IUT FV Bandjoun, BP 134, Bandjoun, Cameroon

[2] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[3] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran

[4] Univ Yaounde I, Higher Teachers Training Coll, Dept Phys, Nonlinear Phys & Complex Syst Grp, POB 47, Yaounde, Cameroon

[5] Neighbourhood Akcaglan, Imarli St 28-4, TR-26030 Eskisehir, Turkey

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2021年 / 53卷 / 01期

关键词：

Cold bosonic atoms in zig-zag optical lattices; Ex<mml:msub>pa</mml:msub> function method and Hyperbolic function method; Hyperbolic solutions and trigonometric solutions; Stability condition; NONLINEAR SCHRODINGERS EQUATION; MODULATIONAL INSTABILITY; QUANTUM BREATHERS; SOLITON-SOLUTIONS; CHAINS; MODEL; KERR;

D O I：

10.1007/s11082-020-02722-w

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, using the continuum approximation and from a discrete equation governing a system of cold bosonic atoms in zig-zag optical lattices derived an equation in a continuum domain. With two different methods, namely the expa function method and the Hyperbolic function method, found many solutions of the equation considered. These solutions are Hyperbolic solutions and trigonometric solutions. Discrete representations have been done to observe their behaviors. These results will help to understand the dynamics of cold bosonic atoms in zig-zag optical lattices and several other systems. More importantly, in this article derived the Lagrangian and the stability condition of the model studied. The methods employed here are very simple and concise.

引用

页数：13

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