Solitons supported by complex PT symmetric Gaussian potentials

Abstract

The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time symmetric Gaussian complex potentials are reported. Fundamental solitons are stable not only in deep potentials but also in shallow potentials. Dipole and tripole solitons are stable only in deep potentials, and tripole solitons are stable in deeper potentials than for dipole solitons. The stable regions of solitons increase with increasing potential depth. The power of solitons increases with increasing propagation constant or decreasing modulation depth of the potentials.

7 pages, 11 figures

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• PT-Symmetric Wave Chaos
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Cited by in corpus (28)

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• 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
• Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric Potential
• Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials
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• Jamming anomaly in $\mathcal{P}\mathcal{T}$-symmetric systems
• Nonlinear localized modes in PT-symmetric optical media with competing gain and loss
• Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation
• Optical solitons in media with focusing and defocusing saturable nonlinearity and a parity-time-symmetric external potential
• Soliton dynamics in symmetric and non-symmetric complex potentials
• Data driven soliton solution of the nonlinear Schrödinger equation with certain $\mathcal{P}\mathcal{T}$-symmetric potentials via deep learning
• Impact of near-PT symmetry on exciting solitons and interactions based on a complex Ginzburg-Landau model
• Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
• Effects of the third-order dispersion on continuous waves in complex potentials
• Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a PT-symmetric potential
• Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and $\mathcal{P}\mathcal{T}$ symmetry
• Robust PT symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity
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• Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations
• Soliton dynamics and stability in the ABS spinor model with a PT-symmetric periodic potential
• Stability band structure for periodic states in periodic potentials