https://doi.org/10.1140/epjp/s13360-024-05147-6
Regular Article
Periodic solitons of generalized coupled nonlinear Schrödinger equations with variable coefficients
1
School of Information Engineering, Zhejiang Ocean University, 316022, Zhoushan, China
2
School of Science, Zhejiang University of Science and Technology, 310023, Hangzhou, China
Received:
30
January
2024
Accepted:
29
March
2024
Published online:
27
April
2024
Under investigation in this research is a generalized coupled nonlinear Schrödinger (vcGCNLS) equations with self-phase modulation, cross-phase modulation and four-wave mixing term in a birefringent fiber, which also include time-dependent diffraction, nonlinearity and gain (loss) parameters. By making full use of the developed Hirota bilinear method, we derive the bilinear forms and construct the periodic one-soliton and two-soliton solutions for this coupled equations. Based on the obtained periodic soliton solutions, the dynamical behaviors of them are analyzed. The results show that periodic solitons of different shapes can be designed by setting the diffraction effect 
and the nonlinear effect R(t), which could result different gain (loss) parameter 
, to different functions.
The original online version of this article was revised: The affiliations of the authors were swapped incorrectly.
A correction to this article is available online at https://doi.org/10.1140/epjp/s13360-024-05693-z.
Copyright comment corrected publication 2024
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. corrected publication 2024 . 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.
