Analytical stable Gaussian soliton supported by a parity-time-symmetric potential with power-law nonlinearity
Quantum Physics
2015-01-23 v2 Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1404.7322,
title = {Analytical stable Gaussian soliton supported by a parity-time-symmetric potential with power-law nonlinearity},
author = {Bikashkali Midya},
journal= {arXiv preprint arXiv:1404.7322},
year = {2015}
}
Comments
Nonlinear Dynamics (2014)