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Optical and Quantum Electronics

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01-12-2023

Exact solutions of the fractional resonant nonlinear Schrödinger equation

Authors: Yongming Xu, Yuqiang Feng, Jun Jiang

Published in: Optical and Quantum Electronics | Issue 13/2023

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Abstract

In this study, we extend the resonant nonlinear Schrödinger equation with dual-power law nonlinearity to the fractional case. Consequently, novel exact solutions are derived. The properties of conformable fractional derivatives and fractional \(\left( {{{{G'} \over G}}} \right)\)-expansion method are employeed. The acquired solutions, constituting a novel contribution within the current literature, encompass bright solitons, dark solitons and singular solitons. These solutions prove to be of utmost importance in tackling specific optical issues. Ultimately, the results are elucidated via their corresponding graphical depictions.

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Title: Exact solutions of the fractional resonant nonlinear Schrödinger equation
Authors: Yongming Xu
Yuqiang Feng
Jun Jiang
Publication date: 01-12-2023
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 13/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05483-4

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