Bright soliton dynamics for resonant nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity

doi:10.1088/1674-1056/ad71b4

Abstract For systems modeled by the resonant nonlinear Schrödinger equation (RNLSE) with generalized cubic-quintic nonlinearity, we derive the bright soliton solution of the equation in (1+1) dimensions, using the modified $F$-expansion method along with the novel ansatz of $F$-base function. Furthermore, we extend the analytical study of soliton dynamics to higher (2+1) and (3+1) dimensions by using the self-similar method, and demonstrate the soliton behavior via graphical illustration. Moreover, we investigate the effect of the resonance term on bright soliton solution in (1+1) dimensions. Additionally, we consider the nonlinear equation models with perturbation terms and derive the bright soliton solutions for the one-dimensional (1D) to three-dimensional (3D) cases. The theoretical results derived can be used to guide the experimental studies and observations of bright solitons in systems described by RNLSE model.

Keywords: soliton resonant nonlinear Schrödinger equation $F$-expansion method

Received: 09 July 2024
Revised: 20 August 2024
Accepted manuscript online: 21 August 2024

PACS:	42.65.Tg	(Optical solitons; nonlinear guided waves)
	42.81.Dp	(Propagation, scattering, and losses; solitons)
	02.30.Jr	(Partial differential equations)
	42.50.Md	(Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11547024).

Corresponding Authors: Ying Wang
E-mail: wangying@just.edu.cn

Cite this article:

Keyu Bao(鲍柯宇), Xiaogang Tang(唐晓刚), and Ying Wang(王颖) Bright soliton dynamics for resonant nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity 2024 Chin. Phys. B 33 124203

[1] Chen J and Yan Q 2020 Nonlinear Dyn. 100 2807
[2] Zhao X H 2021 Appl. Math. Lett. 121 107383
[3] Zhou Q, et al. 2022 Chin. Phys. Lett. 39 044202
[4] Arshad M, Seadawy A R and Lu D 2018 Optical and Quantum Electronics 50 1
[5] Hao R, Li L, Li Z, et al. 2004 Opt. Commun. 236 79
[6] Li B 2005 Int. J. Mod. Phys. C 16 1225
[7] Xiao Z J, Tian B, Wu X Y, et al. 2017 Mod. Phys. Lett. B 31 1750130
[8] Wang Y, Li S, Guo J, et al. 2016 Mathematical Methods in the Applied Science 39 5770
[9] Serkin V N and Hasegawa A 2000 Phys. Rev. Lett. 85 4502
[10] Vahidi J, Zabihi A, Rezazadeh H, et al. 2021 Optik 227 165936
[11] Awan A U, Rehman H U, Tahir M, et al. 2021 Optik 227 165496
[12] Mirzazadeh M, Eslami M, Vajargah B F, et al. 2014 Optik 125 4246
[13] Baleanu D, Inc M, Aliyu A I, et al. 2017 Optik 147 248
[14] Tamilselvan K, Kanna T and Khare A 2016 Commun. Nonlinear Sci. Numer. Simul. 39 134
[15] Das N and Saha Ray S 2023 Optical and Quantum Electronics 55 1071
[16] Dabrowska-Wüster B J, Wüster S and Davis M J 2009 New J. Phys. 11 053017
[17] Atai J and Malomed B A 2001 Phys. Lett. A 284 247
[18] Agrawal G P 2000 Nonlinear Science at the Dawn of the 21st Century (Berlin: Springer-Verlag) pp. 195-211
[19] Pan Wang and Bo Tian 2012 Opt. Commun. 285 3567
[20] Akram G, Sadaf M and Khan M A U 2023 Math. Comput. Simul. 206 1
[21] Bulut H, Sulaiman T A and Baskonus H M 2018 Optik 163 49
[22] Rezazadeh, Hadi, Abazari, et al. 2020 Open Physics 18 761
[23] Wang Y, Wang W and Zhou S Y 2017 Commun. Theor. Phys. 68 623
[24] Wang Y, Cheng Q, Guo J, et al. 2019 AIP Adv. 9 075206
[25] Abdou M A 2007 Chaos, Solitons and Fractals 31 95
[26] Fei J X and Zheng C L 2013 Chin. J. Phys. 51 200
[27] Das A, Karmakar B, Biswas A, et al. 2023 Nonlinear Dyn. 111 15347
[28] Qi W, Liang Z X and Zhang Z D 2013 J. Phys. B 46 175301
[29] Eslami M, Mirzazadeh M, Vajargah B F, et al. 2014 Optik 125 3107
[30] Rezazadeh H, Ullah N and Akinyemi L, et al. 2021 Results in Physics 24 104179
[31] Wang Y and Zhou Y 2014 AIP Advance 4 067131
[32] Inc M, Aliyu A I, Yusuf A, et al. 2018 Superlattices and Microstructures 113 541
[33] Liu X, Jiao Y, Wang Y, et al. 2022 Results in Physics 33 105162
[34] Tang X and Wang Y 2023 The Eur. Phys. J. D 77 179
[35] Zhao Y, Chen Y, Dai J, et al. 2019 Adv. Math. Phys. 2019 8264848
[36] Li J, Yang Z J and Zhang S M 2024 Chaos, Solitons and Fractals 187 115338
[37] Sun Z, Deng D and Yang Z M 2024 Opt. Express 32 29976
[38] Pang F Z, et al. 2023 Chin. Phys. B 32 050205
[39] Biswas A, Yildirim Y, Yasar E, et al. 2018 Optik 160 33
[40] Yang J 2010 Nonlinear Waves in Integrable and Non-integrable Systems (Philadelphia: SIAM) p. 168
[41] Pashaev O K and Lee J H 2002 Mod. Phys. Lett. A 17 1601
[42] Choudhuri A, Triki H and Porsezian K 2016 Phys. Rev. A 94 063814

[1]	Darboux transformation, positon solution, and breather solution of the third-order flow Gerdjikov-Ivanov equation Shuzhi Liu(刘树芝), Ning-Yi Li(李宁逸), Xiaona Dong(董晓娜), and Maohua Li(李茂华). Chin. Phys. B, 2025, 34(1): 010201.
[2]	Femtosecond mode-locking and soliton molecule generation based on a GaAs saturable absorber Chen-Yan Zhang(张辰妍), Xin-He Dou(窦鑫河), Zhen Chen(陈震), Jing-Han Zhao(赵靖涵), Wei Sun(孙薇), Ze-Yu Fan(樊泽宇), Tao Zhang(张涛), Hao Teng(滕浩), and Zhi-Guo Lv(吕志国). Chin. Phys. B, 2025, 34(1): 014205.
[3]	Dynamics of fundamental and double-pole breathers and solitons for a nonlinear Schrödinger equation with sextic operator under non-zero boundary conditions Luyao Zhang(张路瑶) and Xiyang Xie(解西阳). Chin. Phys. B, 2024, 33(9): 090207.
[4]	Multi-soliton solutions of coupled Lakshmanan-Porsezian-Daniel equations with variable coefficients under nonzero boundary conditions Hui-Chao Zhao(赵会超), Lei-Nuo Ma(马雷诺), and Xi-Yang Xie(解西阳). Chin. Phys. B, 2024, 33(8): 080201.
[5]	An integrable generalization of the Fokas-Lenells equation: Darboux transformation, reduction and explicit soliton solutions Jiao Wei(魏姣), Xianguo Geng(耿献国), and Xin Wang(王鑫). Chin. Phys. B, 2024, 33(7): 070202.
[6]	Multi-soliton solutions, breather-like and bound-state solitons for complex modified Korteweg-de Vries equation in optical fibers Zhong-Zhou Lan(兰中周). Chin. Phys. B, 2024, 33(6): 060201.
[7]	On the generation of high-quality Nyquist pulses in mode-locked fiber lasers Yuxuan Ren(任俞宣), Jinman Ge(葛锦蔓), Xiaojun Li(李小军), Junsong Peng(彭俊松), and Heping Zeng(曾和平). Chin. Phys. B, 2024, 33(3): 034210.
[8]	Dynamical nonlinear excitations induced by interaction quench in a two-dimensional box-trapped Bose-Einstein condensate Zhen-Xia Niu(牛真霞) and Chao Gao(高超). Chin. Phys. B, 2024, 33(2): 020314.
[9]	Asymptotic analysis on bright solitons and breather solutions of a generalized higher-order nonlinear Schrödinger equation in an optical fiber or a planar waveguide Xin Zhao(赵鑫), Zhong Du(杜仲), Li-Jian Zhou(周立俭), Rong-Xiang Liu(刘荣香), and Xu-Hu Wang(王绪虎). Chin. Phys. B, 2024, 33(11): 110204.
[10]	Third-order nonlinear wavelength conversion in chalcogenide glass waveguides towards mid-infrared photonics Fengbo Han(韩锋博), Jiaxin Gu(顾佳新), Lu Huang(黄璐), Hang Wang(王航), Yali Huang(黄雅莉), Xuecheng Zhou(周学成), Shaoliang Yu(虞绍良), Zhengqian Luo(罗正钱), Zhipeng Dong(董志鹏), and Qingyang Du(杜清扬). Chin. Phys. B, 2024, 33(10): 104207.
[11]	Effective regulation of the interaction process among three optical solitons Houhui Yi(伊厚会), Xiaofeng Li(李晓凤), Junling Zhang(张俊玲), Xin Zhang(张鑫), and Guoli Ma(马国利). Chin. Phys. B, 2024, 33(10): 100502.
[12]	Interaction solutions and localized waves to the (2+1)-dimensional Hirota-Satsuma-Ito equation with variable coefficient Xinying Yan(闫鑫颖), Jinzhou Liu(刘锦洲), and Xiangpeng Xin(辛祥鹏). Chin. Phys. B, 2023, 32(7): 070201.
[13]	Soliton propagation for a coupled Schrödinger equation describing Rossby waves Li-Yang Xu(徐丽阳), Xiao-Jun Yin(尹晓军), Na Cao(曹娜) and Shu-Ting Bai(白淑婷). Chin. Phys. B, 2023, 32(7): 070202.
[14]	Influence of the initial parameters on soliton interaction in nonlinear optical systems Xinyi Zhang(张昕仪) and Ye Wu(吴晔). Chin. Phys. B, 2023, 32(7): 070505.
[15]	Adjusting amplitude of the stored optical solitons by inter-dot tunneling coupling in triple quantum dot molecules Yin Wang(王胤), Si-Jie Zhou(周驷杰), Yong-He Deng(邓永和), and Qiao Chen(陈桥). Chin. Phys. B, 2023, 32(5): 054203.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Bright soliton dynamics for resonant nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity

Cite this article:

Online attention