An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method

Authors

  • Zulfi Abdullah Theoretical Physics Laboratory, Department of Physics, Faculty of Mathematics and Natural Science, Universitas Andalas, Padang, Indonesia, Indonesia https://orcid.org/0000-0002-8052-0836
  • Trengginas Eka Putra Sutantyo Theoretical Physics Laboratory, Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Andalas, Kampus Unand Limau Manis, Padang 25163, Indonesia, Indonesia https://orcid.org/0000-0002-7633-909X
  • Mahdhivan Syafwan Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Andalas, Kampus Unand Limau Manis, Padang 25163, Indonesia, Indonesia
  • Ahmad Ripai Theoretical Physics Laboratory, Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Andalas, Kampus Unand Limau Manis, Padang 25163, Indonesia, Indonesia https://orcid.org/0000-0002-9453-6142
  • Hanifah Azzaura Musyayyadah Institute of Engineering Mathematics, Faculty of Applied Science and Humanities, Universiti Malaysia Perlis (UNIMAP) Pauh Putra Campus, 02600, Arau, Perlis, Malaysia, Malaysia
  • Mohamad Nazri Abdul Halif Institute of Engineering Mathematics, Faculty of Applied Science and Humanities, Universiti Malaysia Perlis (UNIMAP) Pauh Putra Campus, 02600, Arau, Perlis, Malaysia, Malaysia

DOI:

https://doi.org/10.25077/jif.15.1.13-21.2023

Keywords:

NLSE, nonlinear fiber optics, soliton, fiber losses, direct solution method

Abstract

We present an exact solution of the nonlinear Schrödinger equation (NLSE) for beam propagation in nonlinear fiber optics. It is a lossy fiber system with the beam as solitons. Fiber losses are understood to reduce the peak power of solitons along the fiber length. That is due to its value depending on the fiber attenuation constant of α. Considering fiber loss features on the equation, we write one set modification of the NLSE and make models the main topic of our work. We solved the model and found a straightforward analytical solution of modified NLSE for the system via the direct solution method. To the best of our knowledge, no literature has presented such as solution yet. By substituting them into equations, we validate solutions. It is valid as an exact solution to the NLSE. Lastly, we found a solution offering soliton propagation suitable for the system under study.

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References

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Published

2022-11-06

How to Cite

Zulfi Abdullah, Trengginas Eka Putra Sutantyo, Mahdhivan Syafwan, Ahmad Ripai, Hanifah Azzaura Musyayyadah, & Mohamad Nazri Abdul Halif. (2022). An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method . JURNAL ILMU FISIKA | UNIVERSITAS ANDALAS, 15(1), 13–21. https://doi.org/10.25077/jif.15.1.13-21.2023

Issue

Vol. 15 No. 1 (2023): March 2023

Section

Research Article

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Copyright (c) 2023 Zulfi Abdullah, Trengginas Eka Putra Sutantyo, Mahdhivan Syafwan, Ahmad Ripai, Hanifah Azzaura Musyayyadah, Mohamad Nazri Abdul Halif

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