Solitons and their stability in the nonlocal nonlinear Schroedinger equation with PT-symmetric potentials

Abstract

We report localized nonlinear modes of the self-focusing and defocusing nonlocal nonlinear Schroedinger equation with the generalized PT-symmetric Scarf-II, Rosen-Morse, and periodic potentials. Parameter regions are presented for broken and unbroken PT-symmetric phases of linear bounded states and the linear stability of the obtained solitons. Moreover, we numerically explore the dynamical behaviors of solitons and find stable solitons for some given parameters.

arXiv comment11 pages, 5 figures

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• Attraction centers and PT-symmetric delta-functional dipoles in critical and supercritical self-focusing media
• Impact of near-PT symmetry on exciting solitons and interactions based on a complex Ginzburg-Landau model
• Nonlocal Nonlinear Schrodinger Equation on Metric Graphs
• Solvable Limits of a class of generalized Vector Nonlocal Nonlinear Schrödinger equation with balanced loss-gain
• Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations
• Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I Symmetry preserving and symmetry breaking solutions