Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system

被引:57
作者
Triki, Houria [1 ]
Zhou, Qin [2 ,3 ]
Liu, Wenjun [4 ]
Biswas, Anjan [5 ,6 ,7 ,8 ,9 ]
Moraru, Luminita [12 ]
Yildirim, Yakup [10 ]
Alshehri, Hashim M. [6 ]
Belic, Milivoj R. [11 ]
机构
[1] Badji Mokhtar Univ, Fac Sci, Dept Phys, Radiat Phys Lab, POB 12, Annaba 23000, Algeria
[2] Wuhan Text Univ, Res Ctr Nonlinear Sci, Sch Math & Phys Sci, Wuhan 430200, Peoples R China
[3] Wuhan Text Univ, State Key Lab New Text Mat & Adv Proc Technol, Wuhan 430200, Peoples R China
[4] Beijing Univ Posts & Telecommun, Sch Sci, State Key Lab Informat Photon & Opt Commun, POB 122, Beijing 100876, Peoples R China
[5] Natl Res Nucl Univ, Dept Appl Math, 31 Kashirskoe Hwy, Moscow 115409, Russia
[6] King Abdulaziz Univ, Dept Math, Math Modeling & Appl Computat MMAC Res Grp, Jeddah 21589, Saudi Arabia
[7] Dunarea de Jos Univ Galati, Cross Border Fac, Dept Appl Sci, 111 Domneasca St, Galati 800201, Romania
[8] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Medunsa, South Africa
[9] Alabama A&M Univ, Dept Phys, Chem & Math, Normal, AL 35762 USA
[10] Near East Univ, Fac Arts & Sci, Dept Math, CY-99138 Nicosia, Cyprus
[11] Inst Phys Belgrade, Pregrev 118, Zemun 11080, Serbia
[12] Dunarea de Jos Univ Galati, Fac Sci & Environm, Dept Chem, Phys & Environm, 47 Domneasca St, Galati 800008, Romania
关键词
Chirped soliton; Birefringent; Fokas-Lenells equation; NONLINEAR SCHRODINGER-EQUATION; SPATIOTEMPORAL DISPERSION; BRIGHT; DARK; PERTURBATION; COMPRESSION; WAVES;
D O I
10.1016/j.chaos.2021.111751
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The propagation of ultrashort light pulses in a birefringent optical fiber exhibiting spatiotemporal dispersion, cross-and self-phase modulation, self-steepening, and group-velocity dispersion effects is addressed. The evolution of light pulses in such system is described by the coupled Fokas-Lenells equations which offer an accurate description of pulse dynamics in the femtosecond range when certain terms of the next asymptotic order beyond those necessary for the nonlinear Schrodinger equation are sustained. We report the first analytical demonstration of the propagation of chirped solitons in a birefringent fiber medium governed by the coupled Fokas-Lenells equations. The formation of those nonlinearly chirped solitons in the optical material may be attributed to the presence of self-steepening process. The results show that the frequency chirp associated with each of the two field components is directly proportional to the total intensity of the pulse. The chirped solitons for the system including the dark-dark and bright-bright soliton pairs in the presence of all fiber parameters are retrieved. The chirps accompanying the soliton pairs are also determined. The existence constraints of these chirped solitons are presented. In addition, the stability of the chirped solutions with respect to the finite perturbations is studied numerically. (c) 2021 Elsevier Ltd. All rights reserved.
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页数:7
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