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

[41] Soliton dynamics for the nonlinear Schrodinger equation with magnetic field
Squassina, Marco
MANUSCRIPTA MATHEMATICA, 2009, 130 (04) : 461 - 494
[42] Nonlinear chirped optical solitons of the perturbation Fokas-Lenells equation in optical fibers
Li, Shuang
OPTIK, 2023, 276
[43] Soliton interactions of a (2+1)-dimensional nonlinear Schrodinger equation in a nonlinear photonic quasicrystal or Kerr medium
Xiao, Zi-Jian
Tian, Bo
Wu, Xiao-Yu
Liu, Lei
Sun, Yan
MODERN PHYSICS LETTERS B, 2017, 31 (22):
[44] On the dynamics of soliton waves in a generalized nonlinear Schrodinger equation
Hosseini, K.
Hincal, E.
Salahshour, S.
Mirzazadeh, M.
Dehingia, K.
Nath, B. J.
OPTIK, 2023, 272
[45] Optical pulse propagation in monomode fibers with higher order nonlinear Schrodinger equation
Ali, Muhammad Nasir
Seadawy, Aly R.
Husnine, Syed Muhammad
Tariq, Kalim U.
OPTIK, 2018, 156 : 356 - 364
[46] New exact solutions for higher order nonlinear Schrodinger equation in optical fibers
Eslami, Mostafa
Neirameh, Ahmad
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)
[47] NONLINEARITY SATURATION AS A SINGULAR PERTURBATION OF THE NONLINEAR SCHRODINGER EQUATION
Glasner, Karl
Allen-Flowers, Jordan
SIAM JOURNAL ON APPLIED MATHEMATICS, 2016, 76 (02) : 525 - 550
[48] Three-component coupled nonlinear Schrodinger equation: optical soliton and modulation instability analysis
Sulaiman, Tukur Abdulkadir
PHYSICA SCRIPTA, 2020, 95 (06)
[49] Bifurcation analysis and bright soliton of generalized resonant dispersive nonlinear Schrodinger's equation
Mirzazadeh, Mohammad
Zhou, Qin
Zerrad, Essaid
Mahmood, Mohammad F.
Biswas, Anjan
Belic, Milivoj
OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, 2015, 9 (11-12): : 1342 - 1346
[50] Breather-to-soliton conversions described by the quintic equation of the nonlinear Schrodinger hierarchy
Chowdury, A.
Kedziora, D. J.
Ankiewicz, A.
Akhmediev, N.
PHYSICAL REVIEW E, 2015, 91 (03):

← 1 2 3 4 5 →