https://doi.org/10.1140/epjp/s13360-023-03710-1
Regular Article
Diverse optical solitons to the nonlinear Schrödinger equation via two novel techniques
School of Physics and Electronic Information Engineering, Henan Polytechnic University, 454003, Jiaozuo, China
Received:
1
November
2022
Accepted:
15
January
2023
Published online:
24
January
2023
In this article, we aim to investigate the nonlinear Schrödinger equation that describes the pulse propagation in optical fiber through two novel techniques, namely, the Bäcklund transformation-based method and Wang’s direct mapping method for the first time. Diverse soliton solutions expressed in the form of trigonometric function such as sine, cosine, secant, cosecant, hyperbolic function like hyperbolic tangent, hyperbolic secant, hyperbolic cosecant, hyperbolic sine, hyperbolic cosine, exponential function and the rational function are obtained. The performances of the different soliton solutions are illustrated through the 3-D plots, 2-D contours and 2-D curves. It is confirmed that the proposed methods are powerful and effective, which can be used to study the other PDEs arising in optics.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
