Eur. Phys. J. Plus (2022) 137: 860
https://doi.org/10.1140/epjp/s13360-022-03081-z

Regular Article

Stabilization of solitons in collisionally inhomogeneous higher-order nonlinear media with $\mathcal{PT}$-symmetric harmonic-Gaussian potential with unbounded gain-loss distributions

Centre for Nonlinear Systems, Chennai Institute of Technology, 600 069, Chennai, Tamil Nadu, India

^b manikandank@citchennai.net

Received: 24 January 2022
Accepted: 17 July 2022
Published online: 25 July 2022

Abstract

We explore the existence of stable optical soliton in collisionally inhomogeneous cubic, quintic and septimal nonlinear Schrödinger equation with the presence of a $\mathcal{PT}$-symmetric harmonic-Gaussian potential with unbounded gain-loss distributions. For the various strengths of $\mathcal{PT}$-symmetric potential, we obtain stable optical soliton for a particular range of propagation constant. The intensity distributions and the conserved power of the soliton in the stable regime are managed by collisional inhomogeneity strength. We identify that the intensity and the conserved power of the optical soliton get saturated when the strength of collisional inhomogeneity exceeds a critical value.