Nonlinear tunneling of solitons in a variable coefficients nonlinear Schrödinger equation with PT-symmetric Rosen-Morse potential

2021/05/13 by K. Manikandan, Manikandan, K., J. B. Sudharsan +3
Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2105.06429

Abstract

We construct soliton solution of a variable coefficients nonlinear Schrödinger equation in the presence of parity reflection - time reversal (PT)- symmetric Rosen-Morse potential using similarity transformation technique. We transform the variable coefficients nonlinear Schrödinger equation into the nonlinear Schrödinger equation with PT-symmetric potential with certain integrability conditions. We investigate in-detail the features of the obtained soliton solutions with two different forms of dispersion parameters. Further, we analyze the nonlinear tunneling effect of soliton profiles by considering two different forms of nonlinear barrier/well and dispersion barrier/well. Our results show that the soliton can tunnel through nonlinear barrier/well and dispersion barrier/well with enlarged and suppressed amplitudes depending on the sign of the height. Our theoretical findings are experimentally realizable and might help to model the optical devices.

Related

• Optical solitons in near PT-symmetric Rosen-Morse potential
• Soliton-like Solutions for Nonlinear Schroedinger Equation with Variable Quadratic Hamiltonians
• Nonlinear PT-symmetric models bearing exact solutions
• Analytical construction of soliton families in one- and two-dimensional nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials
• Connected and disconnected stable regions of solitons of nonlinear Schrödinger equation with PT-symmetric potential