Article
Optics
Ambaresh Sahoo, Dipti Kanika Mahato, A. Govindarajan, Amarendra K. Sarma
Summary: This study presents a detailed investigation on the dynamics of soliton steering in a femtosecond parity-time-symmetric directional coupler. The incorporation of higher-order perturbative effects stabilizes the soliton pulse evolution and enables efficient soliton steering.
Article
Optics
Peijun Chen, Hong Wang
Summary: This article investigates the dynamics and stability of two-dimensional vortex dipole solitons in nonlocal nonlinearity with a PT-symmetric Scarff-II potential. The solitons with single charge and higher-order charge are analyzed using analytical and numerical methods. It is found that the degree of nonlocality affects the evolution of the beams. The vortex dipole solitons undergo stable deformation rather than maintaining their basic profile when the nonlocality is strong. Additionally, the stability of the vortex dipole solitons depends on the potential depth, and there exists a threshold below which the beams can keep their shapes and propagate stably regardless of the strength of nonlocality. Numerical simulations support the analytical results.
Article
Mathematics, Applied
Zijian Zhou, Jin Song, Weifang Weng, Zhenya Yan
Summary: This paper examines the properties of two types of PT-symmetric non-periodic potentials in the logarithmic nonlinear Schrodinger equation, including the existence, stability, and interaction of solitons, as well as the impact of time-dependent functions on solitons.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Physics, Multidisciplinary
Wanwei Che, Feiwen Yang, Shulei Cao, Zhongli Wu, Xing Zhu, Yingji He
Summary: This study focuses on the existence and stability properties of gray solitons in parity-time (PT)-symmetric localized potentials with fractional-order diffraction. It is found that the Levy index and the real and imaginary parts of the complex potentials have significant influences on the solitons. Changing coefficients of PT-symmetric potentials in the nonlinear fractional Schrodinger equation can lead to a transition between gray solitons and anti-dark solitons. Additionally, the transverse energy flow in gray and anti-dark solitons with fractional-order diffraction is also discussed.
Article
Mathematics, Interdisciplinary Applications
Xing Zhu, Shangwen Liao, Zhen Cai, Yunli Qiu, Yingji He
Summary: The study demonstrates the existence and stability of continuous soliton families in Kerr media with two-dimensional non-parity-time symmetric complex potentials. Discrete eigenvalues in the linear spectra of these complex potentials are observed, with fundamental solitons bifurcating from the largest discrete eigenvalue and dipole solitons from the second or third largest. Eigenvalues in the soliton linear-stability spectra are found to emerge as complex conjugate pairs, with the impact of different parameters on soliton stability discussed in detail. Additionally, transverse energy flow vectors of the solitons in these complex potentials are investigated.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Interdisciplinary Applications
Houria Triki, Vladimir Kruglov
Summary: The study investigates the propagation of one-dimensional optical beams in a weakly nonlocal medium with cubic-quintic nonlinearity, finding various periodic waves and solitary waves present. Explicit solutions of the envelope model equation are obtained through an efficient transformation, and the applications of self-similar structures in an amplification system are discussed.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Optics
Yuanhang Weng, Hong Wang, Peijun Chen, Geyu Tang
Summary: This paper identifies new soliton families in PT symmetric optical lattices with nonlocal competing cubic-quintic nonlinearity, investigating their existence and stability ranges. The study examines the impact of nonlocality, quintic nonlinearity, and PT symmetry on these solitons, demonstrating that solitons can be linearly stabilized in certain conditions.
OPTICS COMMUNICATIONS
(2021)
Article
Physics, Multidisciplinary
Yongping Zhang, Zhu Chen, Biao Wu, Thomas Busch, Vladimir V. Konotop
Summary: The interaction between nonlinearity and PT symmetry in a periodic potential results in peculiar features of nonlinear periodic solutions, including thresholdless symmetry breaking and asymmetric (multi-)loop structures of the nonlinear Bloch spectrum. These features are explained within the framework of a two-mode approximation and an effective potential theory and are validated numerically.
PHYSICAL REVIEW LETTERS
(2021)
Article
Engineering, Mechanical
Niladri Ghosh, Amiya Das, Debraj Nath
Summary: This paper investigates the exact solutions and spectrum of the nonlinear Schrodinger equation with complex deformed supersymmetric potential. The study focuses on bright soliton and dark soliton solutions and their stability, which are validated by linear stability analysis and numerical simulations. Furthermore, the paper explores the stable regions of bright and dark solitons through adiabatic transformations of system parameters.
NONLINEAR DYNAMICS
(2023)
Article
Physics, Multidisciplinary
Xingrui Song, Kater Murch
Summary: This article explores the relationship between the phenomenon of avoided level crossing and a spin-1/2 system evolving under a PT-symmetric Hamiltonian, using a simple example. It further generalizes this relationship to the eigenenergy problem of a bulk system with N spatial dimensions, showing that the eigenenergy state can be decoded through the propagation of the edge state in the temporal dimension, and this evolution is PT-symmetric.
Article
Optics
Wen-Bo Bo, Wei Liu, Yue-Yue Wang
Summary: This study reports symmetric and antisymmetric solitons in the fractional nonlinear Schrodinger equation with defocused saturable nonlinearity and PT-symmetric potential. It is found that strong saturable nonlinearity suppresses the change of propagation constant as soliton power increases. The stability of symmetric and antisymmetric solitons is analyzed and verified, showing that high power and strong nonlinearity can enhance the stability of symmetric solitons but make antisymmetric solitons unstable.
Article
Optics
Gang Yao, Khian-Hooi Chew, Yan Wu, Yuhua Li, Rui-Pin Chen
Summary: This study demonstrates the dynamical properties of a vector vortex optical field in a strongly nonlocal nonlinear medium with sine and cosine parity-time-symmetric potentials. The research shows that the shape of the optical field is chaotically distorted in different propagation distances due to the modulation of complex refractive index, yet the VVOF reciprocally evolves in a periodic stretch and shrink behavior during propagation in the medium. The reciprocal conversions between linear and circular polarizations periodically occur during the propagation, depending on various factors such as modulation of the complex refractive index, initial powers, and vortex topological charge numbers.
Article
Mathematics, Applied
Gennadiy Burlak, Zhaopin Chen, Boris A. Malomed
Summary: We construct families of one-dimensional stable solitons in two-component PT-symmetric systems with spin-orbit coupling and quintic nonlinearity. The stability regions for the solitons are identified, and the stability boundaries are determined by simulations and linear stability analysis. The evolution scenarios for unstable solitons are investigated, and interactions between adjacent solitons are explored. The study also considers a reduced diffractionless system that only produces unstable solitons.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Optics
Lu Xu, Long Wu, Xu Yang
Summary: The study investigates a layered planar superlens with parity-time (PT) symmetric potential, where adjusting the PT symmetric potential can improve super-resolution and increase working distance. The Eigenspectrum of plasmonic mode depends on PT potential, and the PT symmetry introduces robustness to experimental errors.
Article
Physics, Multidisciplinary
Peng Xue
Summary: We experimentally investigated the impact of static disorder and dynamic disorder on the non-unitary dynamics of parity-time (PT)-symmetric quantum walks. Different environmental influences were simulated, resulting in three different behaviors of quantum walkers: standard ballistic spread, diffusive behavior, and localization, respectively, in a PT-symmetric quantum walk architecture.
Article
Mathematics, Interdisciplinary Applications
Yunli Qiu, Boris A. Malomed, Dumitru Mihalache, Xing Zhu, Li Zhang, Yingji He
CHAOS SOLITONS & FRACTALS
(2020)
Article
Physics, Multidisciplinary
Xing Zhu, Xi Peng, Yunli Qiu, Hongcheng Wang, Yingji He
NEW JOURNAL OF PHYSICS
(2020)
Article
Optics
Xing Zhu, Feiwen Yang, Shulei Cao, Jiaquan Xie, Yingji He
Article
Optics
Xing Zhu, Shulei Cao, Jiaquan Xie, Yunli Qiu, Yingji He
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
(2020)
Article
Materials Science, Multidisciplinary
Zhongli Wu, Shulei Cao, Wanwei Che, Feiwen Yang, Xing Zhu, Yingji He
RESULTS IN PHYSICS
(2020)
Article
Mathematics, Interdisciplinary Applications
Xing Zhu, Shangwen Liao, Zhen Cai, Yunli Qiu, Yingji He
Summary: The study demonstrates the existence and stability of continuous soliton families in Kerr media with two-dimensional non-parity-time symmetric complex potentials. Discrete eigenvalues in the linear spectra of these complex potentials are observed, with fundamental solitons bifurcating from the largest discrete eigenvalue and dipole solitons from the second or third largest. Eigenvalues in the soliton linear-stability spectra are found to emerge as complex conjugate pairs, with the impact of different parameters on soliton stability discussed in detail. Additionally, transverse energy flow vectors of the solitons in these complex potentials are investigated.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Optics
Junxing Yang, Xing Zhu, Xi Peng, Yingji He, Xiaojun Wang, Yunli Qiu
Summary: This study reveals stable regions of dissipative fundamental, dipole, tripole, and fourpole solitons in dissipative media with relatively small elliptical coefficient and Levy index values.
Article
Physics, Multidisciplinary
Wanwei Che, Feiwen Yang, Shulei Cao, Zhongli Wu, Xing Zhu, Yingji He
Summary: This study focuses on the existence and stability properties of gray solitons in parity-time (PT)-symmetric localized potentials with fractional-order diffraction. It is found that the Levy index and the real and imaginary parts of the complex potentials have significant influences on the solitons. Changing coefficients of PT-symmetric potentials in the nonlinear fractional Schrodinger equation can lead to a transition between gray solitons and anti-dark solitons. Additionally, the transverse energy flow in gray and anti-dark solitons with fractional-order diffraction is also discussed.
Article
Engineering, Mechanical
Xing Zhu, Zhen Cai, Jinglin Liu, Shangwen Liao, Yingji He
Summary: This work demonstrates that non-parity-time-symmetric complex potentials can support continuous soliton families in competing cubic-quintic nonlinearities. The quintic nonlinearity coefficient influences the soliton existence and stability areas significantly.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Liangwei Zeng, Xing Zhu, Milivoj R. Belic, Dumitru Mihalache, Jincheng Shi, Junbo Chen
Summary: In this study, it is proven that inhomogeneous defocusing cubic nonlinear media described by the nonlinear Schrodinger equation can support one-dimensional multiple-peak and two-dimensional multiple-ring solitons with equal intensity peaks. The number of equal peaks depends on the parameters describing nonlinearity. Furthermore, vortical modes in these media exhibit alternating stability and instability domains, unlike their non-vortical counterparts which are completely stable.
NONLINEAR DYNAMICS
(2023)
Article
Optics
Liangwei Zeng, Milivoj R. Belic, Dumitru Mihalache, Dan Xiang, Qing Wang, Jianrong Yang, Xing Zhu
Summary: We demonstrate novel triangular bright solitons supported by the nonlinear Schrodinger equation with inhomogeneous Kerr-like nonlinearity and external harmonic potential, which can be realized in nonlinear optics and Bose-Einstein condensates. The profiles of these solitons differ from common Gaussian or sech envelope beams, with tops and bottoms resembling triangle and inverted triangle functions. Self-defocusing nonlinearity leads to triangle-up solitons, while self-focusing nonlinearity supports triangle-down solitons. The stability of these lowest-order fundamental triangular solitons is confirmed by linear stability analysis and direct numerical simulations.
Article
Engineering, Mechanical
Liangwei Zeng, Milivoj R. Belic, Dumitru Mihalache, Qing Zhang, Dan Xiang, Xing Zhu
Summary: We study the dynamics of soliton pairs and clusters in the (2 + 1)-dimensional nonlinear Schrodinger equation with self-focusing Kerr nonlinearity and linear potentials. Our model exhibits regular oscillation and rotation of multidimensional solitary structures, achieved by choosing appropriate simple potentials. Through linear stability analysis, we establish the complete robustness of these soliton pairs and clusters, without any distortion even when the potentials evolve along the propagation direction. Furthermore, the oscillating and rotating periods of soliton pairs and clusters can be easily controlled by the parameters of external potentials.
NONLINEAR DYNAMICS
(2023)
Article
Optics
Liangwei Zeng, Jincheng Shi, Milivoj R. Belic, Dumitru Mihalache, Junbo Chen, Jiawei Li, Xing Zhu
Summary: This study demonstrates the existence of a special type of asymmetric soliton called surface gap solitons in the one-dimensional nonlinear Schrödinger equation. These solitons exhibit asymmetric properties and have major peaks near the position of a nonlinearity jump.
Article
Mathematics, Interdisciplinary Applications
Yunli Qiu, Boris A. Malomed, Dumitru Mihalache, Xing Zhu, Xi Peng, Yingji He
CHAOS SOLITONS & FRACTALS
(2020)
Article
Optics
Huagang Li, Xing Zhu, Boris A. Malomed, Dumitru Mihalache, Yingji He, Zhiwei Shi
