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Nonlinear tunneling of solitons in a variable coefficients nonlinear Schrödinger equation with \(\mathscr {PT}\)-symmetric Rosen–Morse potential

  • Regular Article - Statistical and Nonlinear Physics
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Abstract

We construct soliton solution of a variable coefficients nonlinear Schrödinger equation in the presence of parity reflection–time reversal \((\mathscr {PT})-\) symmetric Rosen–Morse potential using similarity transformation technique. We transform the variable coefficients nonlinear Schrödinger equation into the nonlinear Schrödinger equation with \(\mathscr {PT}-\)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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The authors declare that the data supporting the findings of this study are available within the article.]

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Acknowledgements

KM wishes to thank the Council of Scientific and Industrial Research, Government of India, for providing the Research Associateship under the Grant No. 03/1397/17/EMR-II. The work of MS forms part of a research project sponsored by National Board for Higher Mathematics, Government of India, under the Grant No. 02011/20/2018NBHM(R.P)/R&D 24II/15064.

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Authors and Affiliations

  1. Department of Nonlinear Dynamics, Bharathidasan University, Tiruchirappalli, 620024, Tamil Nadu, India

    K. Manikandan & M. Senthilvelan

  2. SSN Research Centre, SSN College of Engineering, Kalavakkam, Chennai, 603 110, Tamil Nadu, India

    J. B. Sudharsan

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  1. K. Manikandan
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  3. M. Senthilvelan
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Correspondence to M. Senthilvelan.

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Manikandan, K., Sudharsan, J.B. & Senthilvelan, M. Nonlinear tunneling of solitons in a variable coefficients nonlinear Schrödinger equation with \(\mathscr {PT}\)-symmetric Rosen–Morse potential. Eur. Phys. J. B 94, 122 (2021). https://doi.org/10.1140/epjb/s10051-021-00123-w

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