Symmetry breaking of spatial Kerr solitons in fractional dimension

P Li, BA Malomed, D Mihalache - Chaos, Solitons & Fractals, 2020 - Elsevier
We study symmetry breaking of solitons in the framework of a nonlinear fractional
Schrödinger equation (NLFSE), characterized by its Lévy index, with cubic nonlinearity and …

Symmetry breaking of quantum droplets in a dual-core trap

B Liu, HF Zhang, RX Zhong, XL Zhang, XZ Qin… - Physical Review A, 2019 - APS
We consider the dynamical model of a binary bosonic gas trapped in a symmetric dual-core
cigar-shaped potential. The setting is modeled by a system of linearly coupled one …

Photonic Floquet topological insulators in atomic ensembles

Y Zhang, Z Wu, MR Belić, H Zheng… - Laser & Photonics …, 2015 - Wiley Online Library
The feasibility of realizing a photonic Floquet topological insulator (PFTI) in an atomic
ensemble is demonstrated. The interference of three coupling fields will split energy levels …

Nonlinear modes and symmetry breaking in rotating double-well potentials

Y Li, W Pang, BA Malomed - Physical Review A—Atomic, Molecular, and …, 2012 - APS
We study modes trapped in a rotating ring carrying the self-focusing (SF) or self-defocusing
(SDF) cubic nonlinearity and double-well potential cos 2 θ, where θ is the angular …

Integrable pair-transition-coupled nonlinear Schrödinger equations

L Ling, LC Zhao - Physical Review E, 2015 - APS
We study integrable coupled nonlinear Schrödinger equations with pair particle transition
between components. Based on exact solutions of the coupled model with attractive or …

Spontaneous symmetry breaking of fundamental states, vortices, and dipoles in two-and one-dimensional linearly coupled traps with cubic self-attraction

Z Chen, Y Li, BA Malomed, L Salasnich - Physical Review A, 2017 - APS
We introduce two-and one-dimensional (2D and 1D) systems of two linearly coupled Gross-
Pitaevskii equations (GPEs) with the cubic self-attraction and harmonic-oscillator (HO) …

Pair-tunneling induced localized waves in a vector nonlinear Schrödinger equation

LC Zhao, L Ling, ZY Yang, J Liu - Communications in Nonlinear Science …, 2015 - Elsevier
We investigate localized waves of coupled two-mode nonlinear Schrödinger equations with
a pair-tunneling term representing strongly interacting particles can tunnel between the …

Multipole solitons in saturable nonlinear lattices

L Zeng, J Shi, MR Belić, D Mihalache, J Chen… - Nonlinear …, 2023 - Springer
We demonstrate that both fundamental and multipole soliton families can be generated and
stabilized in purely saturable nonlinear lattices, which can be readily realized in nonlinear …

Spontaneous symmetry breaking in nonlinear binary periodic systems

R Peng, Q Fu, Y Chen, W Luo, C Huang, F Ye - Physical Review A, 2024 - APS
Spontaneous symmetry breaking (SSB) occurs when modes of asymmetric profile appear in
a symmetric, double-well potential, due to the nonlinearity of the potential exceeding a …

Dynamics of rogue wave excitation pattern on stripe phase backgrounds in a two-component Bose-Einstein condensate

LC Zhao, L Ling, JW Qi, ZY Yang, WL Yang - Communications in Nonlinear …, 2017 - Elsevier
We study rogue wave excitation pattern in a two-component Bose-Einstein condensate with
pair-transition effects. The results indicate that rogue wave excitation can exist on a stripe …