Dynamics of stable solitons in Complex Ginzburg–Landau equation with [formula omitted]-symmetric Gaussian potential

Abstract

In this paper, we investigate the stable propagation of soliton in Complex Ginzburg–Landau (CGL) equation with self focusing nonlinear mode in the presence of PT-symmetric Gaussian potential. In our model, we find the required condition to obtain the stable solution is that the value of spectral filtering is negative and the positive values of diffraction, Kerr nonlinearity and nonlinear gain/loss. By satisfying this condition, one can manipulate the stable propagation, intensity and power conservation of the soliton by simply varying the strength of the imaginary part of the complex PT-symmetric potential. In other words, the dynamics of the soliton depend on the strength of the imaginary part of potential irrespective of the value of propagation constant.