https://doi.org/10.1140/epjb/s10051-021-00123-w
Regular Article - Statistical and Nonlinear Physics
Nonlinear tunneling of solitons in a variable coefficients nonlinear Schrödinger equation with 
-symmetric Rosen–Morse potential
1
Department of Nonlinear Dynamics, Bharathidasan University, 620024, Tiruchirappalli, Tamil Nadu, India
2
SSN Research Centre, SSN College of Engineering, Kalavakkam, 603 110, Chennai, Tamil Nadu, India
Received:
2
February
2021
Accepted:
12
May
2021
Published online:
3
June
2021
We construct soliton solution of a variable coefficients nonlinear Schrödinger equation in the presence of parity reflection–time reversal 
symmetric Rosen–Morse potential using similarity transformation technique. We transform the variable coefficients nonlinear Schrödinger equation into the nonlinear Schrödinger equation with 
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.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
