Sonic horizon dynamics for quantum systems with cubic-quintic-septic nonlinearity

Wang, Ying; Cheng, Quan; Guo, Jun; Wang, Wei

doi:10.1063/1.5110578

Cited by 4 publications

(2 citation statements)

References 23 publications

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“…Wang et al have shown in their work that the distribution of speed of system flow and the speed of sound determining the occurrence of the sonic horizon is in agreement with the corresponding quantities obtained from a pure numerical evaluation for quantum system incorporating septic nonlinearity modeled by NLS equation [32]. An essential manifestation of the intensity dependence of the refractive index in nonlinear optical media rises through self-phase modulation (SPM) [33], which leads to spectral spreading of optical pulses.…”

Section: Introductionsupporting

confidence: 53%

Emergence of Raman Peaks Due to Septic Nonlinearity in Noninstantaneous Kerr Media

Tchio¹,

Abdoulkary²,

Mohamadou³

2021

Nonlinear Optics - From Solitons to Similaritons

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We analyze the modulation instability induced by cross-phase modulation of two co-propagating optical beams in nonlinear fiber with the effect of higher-order dispersion and septic nonlinearity. We investigate in detail the effect of relaxation nonlinear response to the gain spectrum both in normal group velocity dispersion (GVD) and anomalous dispersion regime. We show that the walk-off, the relaxation nonlinear response time as well as the higher-order process particularly influence the generation of the modulation instability gain. Our results shows that the emerging Raman peaks is observable both in the case of weak dispersion and in a higher-order dispersion for mixed GVD regime with slow response time. These Raman peaks are shifted toward higher frequencies with the decrease of their magnitude, when the walk-off increases.

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Section: Introductionsupporting

confidence: 53%

Emergence of Raman Peaks Due to Septic Nonlinearity in Noninstantaneous Kerr Media

Tchio¹,

Abdoulkary²,

Mohamadou³

2021

Nonlinear Optics - From Solitons to Similaritons

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“…Recently, some models have been derived by reckoning without the term chromatic dispersion and adding higher-order nonlinear terms from the literature. Some of the models developed in this context are: NLSE having arbitrary refractive index [25][26][27][28], NLSE including anti-cubic nonlinearity [29], NLSE having Kudryashovʼs sextic power-law of nonlinear refractive index [9,[30][31][32][33][34], cubic-quintic NLSE [35][36][37], NLSE with cubic-quintic-septic nonlinearities [38,39], NLSE with cubic-quintic-septic-nonic (CQSN) nonlinearities [5,[40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Optical soliton solutions of the nonlinear Schrödinger equation in the presence of chromatic dispersion with cubic-quintic-septic-nonicnonlinearities

Ozdemir,

Secer,

Ozisik

et al. 2023

Phys. Scr.

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In this study, one of our main subjects is the examination of optical solitons of the nonlinear Schrödinger equation having cubic-quintic-septic-nonic nonlinearities via the modified F-expansion method. The other subject is also the analysis of the impacts of some parameters in the model on the soliton shape, which is examined for the first time in this study. According to the modified F-expansion method, we select the suitable transformation to gain the nonlinear ordinary differential equation for the nonlinear Schrödinger equation having cubic-quintic-septic-nonic nonlinearities in the first stage. Then, we get a system consisting of linear equations in polynomial form with the aid of the modified F-expansion method. Various solution sets consisting of the parameters of the nonlinear Schrödinger equation having cubic-quintic-septic-nonic nonlinearities are achieved. Inserting the selected sets and transformations into the serial form of the presented method and utilizing the solutions of the auxiliary equation in the presented method, the optical soliton solutions of the model are derived. Furthermore, varied optical soliton solutions, such as anti-kink, singular, and bright, are achieved, and 3D and 2D projections of the generated soliton solutions have been illustrated. The impact of some parameters on each soliton behavior has also been examined. It is found that these parameters have a significant impact on the soliton structure.

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Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose–Einstein condensate with quintic-order nonlinearity

Wang

Chen

Dai

et al. 2021

Chaos: An Interdisciplinary Journal of Nonlinear Science

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This study explored the two-dimensional Bose–Einstein condensate with an inter-particle nonlinear interaction up to quintic order. Based on the two-dimensional Gross–Pitaevskii equation model with quintic-order nonlinearity, we first derived the bright soliton solution for the system based on the self-similar approach and the modified variational method. We identified that the kinematic quantities derived from the two methods agreed very well. The two-dimensional sonic horizon formation dynamics was then calculated based on the bright soliton solution that was obtained. The periodic formation and evolution patterns of the two-dimensional sonic horizon were quantitatively analyzed and pictorially illustrated. The results can be used to guide sonic black hole related phenomenon observations in a two-dimensional Bose–Einstein condensate with quintic-order nonlinearity.

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Sonic horizon dynamics for quantum systems with cubic-quintic-septic nonlinearity

Cited by 4 publications

References 23 publications

Emergence of Raman Peaks Due to Septic Nonlinearity in Noninstantaneous Kerr Media

Emergence of Raman Peaks Due to Septic Nonlinearity in Noninstantaneous Kerr Media

Optical soliton solutions of the nonlinear Schrödinger equation in the presence of chromatic dispersion with cubic-quintic-septic-nonicnonlinearities

Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose–Einstein condensate with quintic-order nonlinearity

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