Optical solitons in birefringent fibers with Riccati equation method

被引：0

作者：

Mirzazadeh, Mohammad ^{[1
]}

Mahmood, Mohammad F. ^{[2
]}

Majid, Fayequa B. ^{[3
]}

Biswas, Anjan ^{[4
,5
]}

Belic, Milivoj ^{[6
]}

机构：

[1] Univ Guilan, Fac Engn & Technol, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran

[2] Howard Univ, Dept Math, Washington, DC 20059 USA

[3] Alabama A&M Univ, Dept Phys Chem & Math, Normal, AL 35762 USA

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

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

[6] Texas A&M Univ Qatar, Sci Program, Doha, Qatar

来源：

OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS | 2015年 / 9卷 / 7-8期

关键词：

Birefringence; Integrability; Solitons; PARABOLIC LAW NONLINEARITY; BRIGHT; MEDIA; KERR; DISPERSION; SYSTEM;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper addresses optical solitons in birefringent fibers with Kerr law nonlinearity, in presence of perturbation terms and spatio-temporal dispersion. The Riccati equation expansion algorithm is applied to secure soliton solutions to the model. Dark and singular soliton solutions are obtained for both components of the model. Additional solutions revealed, with this algorithm, are plane waves and singular periodic solutions. These are obtained as a byproduct and are not applicable to birefringent fibers.

引用

页码：1032 / 1036

页数：5

共 20 条

[1] Type-I cascaded quadratic soliton compression in lithium niobate: Compressing femtosecond pulses from high-power fiber lasers [J].

Bache, Morten ;

Wise, Frank W. .

PHYSICAL REVIEW A, 2010, 81 (05)

[2] Bright and dark solitons in a cascaded system [J].

Bhravvy, A. H. ;

Alshaery, A. A. ;

Hilal, E. M. ;

Jovanoski, Zlatko ;

Biswas, Anjan .

OPTIK, 2014, 125 (20) :6162-6165

[3] Optical solitons in birefringent fibers with spatio-temporal dispersion [J].

Bhrawy, A. H. ;

Alshaery, A. A. ;

Hilal, E. M. ;

Savescu, Michelle ;

Milovic, Daniela ;

Khan, Kaisar R. ;

Mahmood, Mohammad F. ;

Jovanoski, Zlatko ;

Biswas, Anjan .

OPTIK, 2014, 125 (17) :4935-4944

[4]

Biswas A, 2012, J OPTOELECTRON ADV M, V14, P571

[5]

Guzman J-V, P ROMANIA IN PRESS A

[6] Coupled Higgs field equation and Hamiltonian amplitude equation: Lie classical approach and (G′/G)-expansion method [J].

Kumar, Sachin ;

Singh, K. ;

Gupta, R. K. .

PRAMANA-JOURNAL OF PHYSICS, 2012, 79 (01) :41-60

[7]

Li H, 2007, CHIN OPT LETT, V5, P504

[8]

Mohammed AF, 2000, J OPT COMMUN, V21, P165, DOI 10.1515/JOC.2000.21.5.165

[9] Solitary wave solution to the nonlinear evolution equation in cascaded quadratic media beyond the slowly varying envelope approximations [J].

Sarma, Amarendra K. ;

Biswas, Anjan .

OPTICA APPLICATA, 2014, 44 (02) :205-212

[10]

Savescu M, 2014, ROM J PHYS, V59, P582

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