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

作者：Midya Bikashkali^*

来源：Nonlinear Dynamics, 2015, 79(1): 409-415.

DOI：10.1007/s11071-014-1674-9

• Parity-time symmetry
• Gain and loss
• Nonlinear Schrodinger equation
• Optical soliton

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.

• 出版日期2015-1