Optical Soliton Perturbation with Improved Nonlinear Schrodinger's Equation in Nano Fibers

被引：125

作者：

Savescu, Michelle ^{[1
,2
]}

Khan, Kaisar R. ^{[3
]}

Kohl, Russell W. ^{[4
]}

Moraru, Luminita ^{[5
]}

Yildirim, Ahmet

Biswas, Anjan ^{[1
,6
]}

机构：

[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[2] Kuztown Univ Penn, Dept Math, Kutztown, PA 19530 USA

[3] SUNY, Dept Elect Engn Technol, Canton, NY 13617 USA

[4] Univ Maryland Eastern Shore, Dept Math & Comp Sci, Princess Anne, MD 21853 USA

[5] Univ Dunarea de Jos Galati, Dept Chem Phys & Environm, Galati 800201, Romania

[6] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF NANOELECTRONICS AND OPTOELECTRONICS | 2013年 / 8卷 / 02期

关键词：

Nano Fibers; Solitons; Hamiltonian Perturbations; Traveling Waves; Exact Solutions; RIB WAVE-GUIDES; SPATIAL SOLITONS; PROPAGATION; FABRICATION; GENERATION; EVOLUTION; BRIGHT; FIELD; BENT;

D O I：

10.1166/jno.2013.1459

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：

This paper shines light on the dynamics of solitons in nano optical fibers that is governed by the improved version of the nonlinear Schrodinger's equation, in presence of Hamiltonian perturbation terms that are considered with full nonlinearity. The traveling wave hypothesis is applied to extract the exact 1-soliton solution to the model. Subsequently, the ansatz method is applied to obtain the bright and dark solitons as well as the singular solitons to the model. There are several constraint conditions that fall out during the course of derivation of the soliton solutions. The types of nonlinearity that are studied here are the Kerr law, power law, parabolic law, dual-power law and finally the log-law nonlinearity.

引用

页码：208 / 220

页数：13

共 50 条

[21] Soliton solutions in the modified nonlinear Schrodinger equation in inhomogeneous optical fibers and non-uniform proteins
Zhu, Xi
Peng, Xu-Yang
OPTIK, 2019, 192
[22] Soliton-like solutions of a derivative nonlinear Schrodinger equation with variable coefficients in inhomogeneous optical fibers
Li, Min
Tian, Bo
Liu, Wen-Jun
Zhang, Hai-Qiang
Meng, Xiang-Hua
Xu, Tao
NONLINEAR DYNAMICS, 2010, 62 (04) : 919 - 929
[23] Dromion-like soliton interactions for nonlinear Schrodinger equation with variable coefficients in inhomogeneous optical fibers
Liu, Wenjun
Zhang, Yujia
Luan, Zitong
Zhou, Qin
Mirzazadeh, Mohammad
Ekici, Mehmet
Biswas, Anjan
NONLINEAR DYNAMICS, 2019, 96 (01) : 729 - 736
[24] Multi-dark soliton solutions for the higher-order nonlinear Schrodinger equation in optical fibers
Zhang, Hai-Qiang
Wang, Yue
NONLINEAR DYNAMICS, 2018, 91 (03) : 1921 - 1930
[25] Optical soliton perturbation for time fractional resonant nonlinear Schrodinger equation with competing weakly nonlocal and full nonlinearity
Das, Amiya
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (10)
[26] SOLITON IN DAMPED NONLINEAR SCHRODINGER EQUATION
PEREIRA, NR
PHYSICS OF FLUIDS, 1977, 20 (10) : 1735 - 1743
[27] Improved perturbed nonlinear Schrodinger dynamical equation with type of Kerr law nonlinearity with optical soliton solutions
Seadawy, Aly R.
Cheemaa, Nadia
PHYSICA SCRIPTA, 2020, 95 (06)
[28] Soliton states of Maxwell's equations and nonlinear Schrodinger equation
陈翼强
Science China Mathematics, 1997, (10) : 1073 - 1081
[29] Soliton states of Maxwell's equations and nonlinear Schrodinger equation
Chen, YQ
SCIENCE IN CHINA SERIES A-MATHEMATICS, 1997, 40 (10): : 1073 - 1081
[30] Soliton aspects of the inhomogeneous coupled nonlinear Schrodinger equation in optical fibre
Uthayakumar, A
Porsezian, K
Nakkeeran, K
PURE AND APPLIED OPTICS, 1998, 7 (06): : 1459 - 1464

← 1 2 3 4 5 →