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Optical soliton solutions of (1 + 1)- and (2 + 1)-dimensional generalized Sasa–Satsuma equations using new Kudryashov method

Authors :
Melih Cinar
Aydin Secer
Muslum Ozisik
Mustafa Bayram
Source :
International Journal of Geometric Methods in Modern Physics. 20
Publication Year :
2022
Publisher :
World Scientific Pub Co Pte Ltd, 2022.

Abstract

In this paper, we aim to derive new soliton solutions of (1+1)- and (2+1)-dimensional generalized Sasa–Satsuma equations via the new Kudryashov method. In optical fiber transmission systems, the Sasa–Satsuma equation describes the effects of third-order dispersion, self-steepening and stimulated Raman scattering in the propagation of ultrafast pulses. The considered equations are encountered in various physical applications such as ultra-short and femto-second pulse propagation in optical fibers and dynamics of deep water waves. So, investigation of the novel solutions of the equations is one of the important topics. We have successfully extracted some soliton solutions for the considered equation. The various graphs of the obtained solutions have been depicted in the figures by selecting appropriate parameters. The singular and bright soliton solutions have been revealed in the figures. All acquired solutions have been confirmed to satisfy the considered equations. The results show that the approach may be used to find exact solutions to various nonlinear evolution equations. The new solutions and the paper results may enrich the understanding of the wave propagation in the optical fibers and may shed light on new studies.

Details

ISSN :
17936977 and 02198878
Volume :
20
Database :
OpenAIRE
Journal :
International Journal of Geometric Methods in Modern Physics
Accession number :
edsair.doi...........193826e373ad6adf608a0fdeb9b80455
Full Text :
https://doi.org/10.1142/s0219887823500342