Nonlocal bright spatial solitons in defocusing Kerr media supported by PT symmetric potentials

Abstract

It is studied the bright spatial solitons in nonlocal defocusing Kerr media with parity-time (PT) symmetric potentials. We find that these solitons can exist and be stable over a different range of potential parameters. The influence of the degree of nonlocality on the solitons and the transverse energy flow within the stable solitons are also examined.

4 pages

References in corpus (3)

• Faster than Hermitian Quantum Mechanics
• Observation of attraction between dark solitons
• Dissipative defect modes in periodic structures

Cited by in corpus (27)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Nonlinear modes in the harmonic PT-symmetric potential
• Breathers in PT-symmetric optical couplers
• Nonlinear localized modes in PT-symmetric Rosen-Morse potential well
• Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized PT-symmetric Scarff-II potentials
• Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: stability and excitation of nonlinear modes
• Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric Potential
• Localized modes in ${\chi }^{(2)}$ media with $\PT$-symmetric localized potential
• Nonlocal gap solitons in parity-time symmetric optical lattices
• Nonlinear localized modes in PT-symmetric optical media with competing gain and loss
• Soliton dynamics in symmetric and non-symmetric complex potentials
• Analytical stable Gaussian soliton supported by a parity-time-symmetric potential with power-law nonlinearity
• Impact of near-PT symmetry on exciting solitons and interactions based on a complex Ginzburg-Landau model
• Interactions of bright and dark solitons with localized $\mathcal{P}\mathcal{T}$-symmetric potentials
• Stationary through-flows in a Bose-Einstein condensate with a PT-symmetric impurity
• Exactly solvable Wadati potentials in the PT-symmetric Gross-Pitaevskii equation
• Nonlinear wave dynamics near phase transition in $\mathcal{P}\mathcal{T}$-symmetric localized potentials
• Generation and controlling of ultrashort self-similar solitons and rogue waves in inhomogeneous optical waveguide
• Constructing Solvable Models of Vector Non-linear Schrodinger Equation with Balanced Loss and Gain via Non-unitary transformation
• Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and $\mathcal{P}\mathcal{T}$ symmetry
• Global search for localised modes in scalar and vector nonlinear Schrödinger-type equations
• A systematic construction of parity-time ($\mathcal{P}\mathcal{T}$)-symmetric and non-$\mathcal{P}\mathcal{T}$-symmetric complex potentials from the solutions of various real nonlinear evolution equations
• Airy-soliton interactions in self-defocusing media with PT potentials
• Soliton dynamics and stability in the ABS spinor model with a PT-symmetric periodic potential
• Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations
• Classical Hamiltonian Systems with Balanced loss and gain