Analytical stable Gaussian soliton supported by a parity-time-symmetric potential with power-law nonlinearity

Abstract

We address the existence and stability of spatial localized modes supported by a parity-time-symmetric complex potential in the presence of power-law nonlinearity. The analytical expressions of the localized modes, which are Gaussian in nature, are obtained in both (1+1) and (2+1) dimensions. A linear stability analysis corroborated by the direct numerical simulations reveals that these analytical localized modes can propagate stably for a wide range of the potential parameters and for various order nonlinearities. Some dynamical characteristics of these solutions, such as the power and the transverse power-flow density, are also examined.

arXiv commentNonlinear Dynamics (2014)

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Cited by in corpus (4)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: stability and excitation of nonlinear modes
• Exactly solvable Wadati potentials in the PT-symmetric Gross-Pitaevskii equation
• $\mathcal{P}\mathcal{T}$-symmetric ladders with a scattering core