Chirped Bright and Kink Solitons in Nonlinear Optical Fibers with Weak Nonlocality and Cubic-Quantic-Septic Nonlinearity
-
Abstract
This work focuses on chirped solitons in a higher-order nonlinear Schrödinger equation, including cubic-quintic-septic nonlinearity, weak nonlocal nonlinearity, self-frequency shift, and self-steepening effect. For the first time, analytical bright and kink solitons, as well as their corresponding chirping, are obtained. The influence of septic nonlinearity and weak nonlocality on the dynamical behaviors of those nonlinearly chirped solitons is thoroughly addressed. The findings of the study give an experimental basis for nonlinear-managed solitons in optical fibers. -
-
References
[1] Agrawal G P 2001 Nonlinear Fiber Optics Boston: Academic[2] Wang L L and Liu W J 2020 Chin. Phys. B 29 070502 doi: 10.1088/1674-1056/ab90ea[3] Yan Y Y and Liu W J 2021 Chin. Phys. Lett. 38 094201 doi: 10.1088/0256-307X/38/9/094201[4] Li J, Chen Q, and Li B 2021 Commun. Theor. Phys. 73 045006 doi: 10.1088/1572-9494/abe366[5] Qi Z, Zhang Z, and Li B 2021 Chin. Phys. Lett. 38 060501 doi: 10.1088/0256-307X/38/6/060501[6] Cao Q and Dai C Q 2021 Chin. Phys. Lett. 38 090501 doi: 10.1088/0256-307X/38/9/090501[7] Zhou Q, Wang T, Biswas A, and Liu W 2022 Nonlinear Dyn. 107 1215 doi: 10.1007/s11071-021-07027-5[8] Zhou Q 2022 Chin. Phys. Lett. 39 010501 doi: 10.1088/0256-307X/39/1/010501[9] Mou D S, Fang J J, Dai C Q, and Wang Y Y 2021 Optik 227 165396 doi: 10.1016/j.ijleo.2020.165396[10] Zhao J, Luan Z, Zhang P, Dai C, Biswas A, Liu W, and Kudryashov N A 2020 Optik 220 165189 doi: 10.1016/j.ijleo.2020.165189[11] Zhang P, Hu C, Zhou Q, Biswas A, and Liu W J 2020 Nonlinear Dyn. 101 1215 doi: 10.1007/s11071-020-05865-3[12] Chen J, Luan Z, Zhou Q, Alzahrani A K, Biswas A, and Liu W J 2020 Nonlinear Dyn. 100 2817 doi: 10.1007/s11071-020-05649-9[13] Krolikowski W, Bang O, Nikolov N I, Neshev D, Wyller J, Rasmussen J J, and Edmundson D 2004 J. Opt. B: Quantum Semiclass. Opt. 6 S288 doi: 10.1088/1464-4266/6/5/017[14] Krolikowski W, Bang O, Rasmussen J, and Wyller J 2001 Phys. Rev. E 64 16612 doi: 10.1103/PhysRevE.64.016612[15] Wyller J, Krolikowski W, Bang O, and Rasmussen J 2002 Phys. Rev. E 66 066615 doi: 10.1103/PhysRevE.66.066615[16] Buccoliero D, Desyatnikov A, Krolikowski W, and Kivshar Y 2007 Phys. Rev. Lett. 98 53901 doi: 10.1103/PhysRevLett.98.053901[17] Rasmussen P, Bennet F, Neshev D, Sukhorukov A, Rosberg C, Krolikowski W, Bang O, and Kivshar Y 2009 Opt. Lett. 34 295 doi: 10.1364/OL.34.000295[18] Krolikowski W, Bang O, and Wyller J 2004 Phys. Rev. E 70 036617 doi: 10.1103/PhysRevE.70.036617[19] Skupin S, Bang O, Edmundson D, and Krolikowski W 2006 Phys. Rev. E 73 66603 doi: 10.1103/PhysRevE.73.066603[20] Buccoliero D, Desyatnikov A, Krolikowski W, and Kivshar Y 2008 Opt. Lett. 33 198 doi: 10.1364/OL.33.000198[21] Briedis D, Petersen D, Edmundson D, Krolikowski W, and Bang O 2005 Opt. Express 13 435 doi: 10.1364/OPEX.13.000435[22] Kartashov Y, Vysloukh V, and Torner L 2007 Opt. Express 15 9378 doi: 10.1364/OE.15.009378[23] Krolikowski W and Bang O 2000 Phys. Rev. E 63 016610 doi: 10.1103/PhysRevE.63.016610[24] Zhong W P, Yang Z, Belić M, and Zhong W 2021 Phys. Lett. A 395 127228 doi: 10.1016/j.physleta.2021.127228[25] Shou Q, Weng Z, Guan S, Han H, Huang H, Guo Q, and Hu W 2021 Opt. Lett. 46 2807 doi: 10.1364/OL.424990[26] Snyder A W and Mitchell D J 1997 Science 276 1538 doi: 10.1126/science.276.5318.1538[27] Zhou Q, Yao D, Liu X, Chen F, Ding S, Zhang Y, and Chen F 2013 Opt. Laser Technol. 51 32 doi: 10.1016/j.optlastec.2013.03.006[28] Dreischuh A, Neshev D, Petersen D, Bang O, and Krolikowski W 2006 Phys. Rev. Lett. 96 43901 doi: 10.1103/PhysRevLett.96.043901[29] Kong Q, Wang Q, Bang O, and Krolikowski W 2010 Phys. Rev. A 82 013826 doi: 10.1103/PhysRevA.82.013826[30] Tsoy E N 2010 Phys. Rev. A 82 063829 doi: 10.1103/PhysRevA.82.063829[31] Triki H and Kruglov V I 2021 Chaos, Solitons & Fractals 153 111496 doi: 10.1016/j.chaos.2021.111496[32] Reyna A S, Jorge K C, and de Araújo C B 2014 Phys. Rev. A 90 063835 doi: 10.1103/PhysRevA.90.063835[33] Reyna A S and de Araújo C B 2014 Opt. Express 22 22456 doi: 10.1364/OE.22.022456[34] Chen Y F, Beckwitt K, Wise F W, Aitken B G, Sanghera J S, and Aggarwal I D 2006 J. Opt. Soc. Am. B 23 347 doi: 10.1364/JOSAB.23.000347[35] Saini A, Vyas V M, Pandey S N, Soloman R T, and Panigrahi P K 2009 arXiv:0911.2788 [nlin.PS][36] Zhou Q, Yao D, Ding S, Zhang Y, Chen F, Chen F, and Liu X 2013 Optik 124 5683 doi: 10.1016/j.ijleo.2013.04.032[37] Daoui D, Messouber A, Triki H, Zhou Q, Biswas A, and Liu W 2021 Chaos, Solitons & Fractals 146 110873 doi: 10.1016/j.chaos.2021.110873[38] Meradji S, Triki H, Zhou Q, Biswas A, Ekici M, and Liu W 2020 Chaos, Solitons & Fractals 141 110441 doi: 10.1016/j.chaos.2020.110441
DownLoad: