Vector multipole solitons of fractional-order coupled saturable nonlinear Schrödinger equation

TZ Xu, JH Liu, YY Wang, CQ Dai - Chaos, Solitons & Fractals, 2024 - Elsevier
Three kinds of vector multipole solitons of fractional coupled saturable nonlinear
Schrödinger equation are reported, including fractional dipole-dipole, dipole-tripole and …

Bright and dark solitons under spatiotemporal modulation in (2+ 1)-dimensional Spin-1 Bose-Einstein condensates

N Li, S Xu, Y Sun, Q Chen - Nonlinear Dynamics, 2024 - Springer
The study delves into the impact of spatiotemporally modulated external potentials on both
bright and dark solitons within spin-1 Bose-Einstein condensates. With the Hirota bilinear …

Spiraling elliptic beam arrays in strongly nonlocal nonlinear media

JR He, L Zeng, Y Huang, J Lin - Chaos, Solitons & Fractals, 2024 - Elsevier
We numerically simulated the propagation of the spiraling elliptic beam arrays in strongly
nonlocal nonlinear media, and found that when the total input power is equal to the critical …

Data-driven vector degenerate and nondegenerate solitons of coupled nonlocal nonlinear Schrödinger equation via improved PINN algorithm

WX Qiu, ZZ Si, DS Mou, CQ Dai, JT Li, W Liu - Nonlinear Dynamics, 2024 - Springer
In recent years, the Physics-Informed Neural Networks have demonstrated significant
potential in solving nonlinear evolution equations, and exhibited high stability and …

Colorful excitations of 3D dark-bright vector ring-like Peregrine structures in partially nonlocal nonlinear context under a harmonic potential

Y Zhu, J Yang, Z Chen, W Qin, J Li - Chinese Journal of Physics, 2024 - Elsevier
Based on a one-to-one mapping and Darboux method, 3D partially nonlocal dark-bright
vector ring-like Peregrine structure solutions are derived. From these solutions, colorful …

Multifarious excitations of vector combined dark-bright solitons and rogue waves with ring structures in the partially nonlocal circumstance

SG Shi, L Chen - Nonlinear Dynamics, 2024 - Springer
The partially nonlocal vector structures have been a research boom. However, the ring
structure for vector combined dark-bright solitons and rogue waves is hardly reported in the …

Rydberg-Induced topological solitons in three-dimensional rotation Spin-Orbit-Coupled Bose-Einstein Condensates

Y Wang, J Cui, H Zhang, Y Zhao, S Xu… - Chinese Physics …, 2024 - iopscience.iop.org
We introduce a novel approach for generating stable three-dimensional (3D) spatiotemporal
solitons (SSs) within a rotating Bose-Einstein Condensates, incorporating Spin-Orbit …

Exact solutions, bifurcation analysis and chaotic behavior of high-order nonlinear Schrödinger equation with conformal fractional derivative

M Liu, X Xiao - Optical and Quantum Electronics, 2024 - Springer
This study thoroughly investigates the dynamical properties, analytical solutions and chaotic
behavior of the high-order nonlinear Schrödinger equation with conformal fractional …

Optical solitons and modulation instability analysis for the generalized resonant dispersive nonlinear Schrödinger equation with dual power-law nonlinearity

J Gu, X Tang - Optical and Quantum Electronics, 2024 - Springer
For systems modeled by the resonant nonlinear Schrödinger equation, we aim to investigate
the soliton dynamics and the stability of the system. We extend the equation to a generalized …

Riemann–Hilbert problem for the defocusing Lakshmanan–Porsezian–Daniel equation with fully asymmetric nonzero boundary conditions

J Ji, X Xie - Chinese Physics B, 2024 - iopscience.iop.org
Abstract The Riemann–Hilbert approach is demonstrated to investigate the defocusing
Lakshmanan–Porsezian–Daniel equation under fully asymmetric nonzero boundary …