Optical solitons of transmission equation of ultra-short optical pulse in parabolic law media with the aid of Backlund transformation

被引：29

作者：

Al Qurashi, Maysaa' Mohamed ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

Inc, Mustafa ^{[4
]}

机构：

[1] King Saud Univ, Dept Math, Riyadh, Saudi Arabia

[2] Cankaya Univ, Dept Math, Ankara, Turkey

[3] Inst Space Sci, Magurele, Romania

[4] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

来源：

OPTIK | 2017年 / 140卷

关键词：

Backlund transformation; Schrodinger equation; Optical soliton; ORDER DISPERSION; SPATIAL SOLITONS; HIROTA EQUATION; NONLINEARITY; PERTURBATION; STABILITY; KERR;

D O I：

10.1016/j.ijleo.2017.03.109

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The Backlund transformation is used to obtain optical soliton for a type of the Schrodinger equation. Kink-type and dark-optical soliton solutions are acquired of the Schrodinger equation. It is illustrated that the examined equation is integrable because if an equation has a Backlund transformation it could be integrable. Several constraint conditions for the parameters are derived that establish the existence of the soliton solutions. The numerical simulations supplement the analytical schemes. (C) 2017 Elsevier GmbH. All rights reserved.

引用

页码：114 / 122

页数：9

共 27 条

[1]

Agrawal G. P., 2001, NONLINEAR FIBER OPTI, V3rd

[2]

Akhmediev N., 1997, Solitons: Nonlinear Pulses and Beams

[3] Spatial solitons in Kerr and Kerr-like media [J].

Akhmediev, NN .

OPTICAL AND QUANTUM ELECTRONICS, 1998, 30 (7-10) :535-569

[4] Dispersive optical solitons with Schrodinger-Hirota equation [J].

Bhrawy, A. H. ;

Alshaery, A. A. ;

Hilal, E. M. ;

Manrakhan, Wayne N. ;

Savescu, Michelle ;

Biswas, Anjan .

JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2014, 23 (01)

[5] Stochastic perturbation of optical solitons in Schrodinger-Hirota equation [J].

Biswas, A .

OPTICS COMMUNICATIONS, 2004, 239 (4-6) :461-466

[6] Perturbation of solitons due to power law nonlinearity [J].

Biswas, A .

CHAOS SOLITONS & FRACTALS, 2001, 12 (03) :579-588

[7] Perturbation of solitons with non-Kerr law nonlinearity [J].

Biswas, A .

CHAOS SOLITONS & FRACTALS, 2002, 13 (04) :815-823

[8] Dispersive dark optical soliton with Schodinger-Hirota equation by G′/G-expansion approach in power law medium [J].

Biswas, Anjan ;

Mirzazadeh, M. ;

Eslami, M. .

OPTIK, 2014, 125 (16) :4215-4218

[9] Optical solitons and complexitons of the Schrodinger-Hirota equation [J].

Biswas, Anjan ;

Jawad, Anwar Ja'afar Muhammad ;

Manrakhan, Wayne N. ;

Sarma, Amarendra K. ;

Khan, Kaisar R. .

OPTICS AND LASER TECHNOLOGY, 2012, 44 (07) :2265-2269

[10] Simulation of instability of bright solitons for NLS with saturating nonlinearity [J].

Buslaev, VS ;

Grikurov, VE .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2001, 56 (06) :539-546

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