Analysis of solitary wave solutions in the fractional-order Kundu-Eckhaus system.
Journal
Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288
Informations de publication
Date de publication:
14 Feb 2024
14 Feb 2024
Historique:
received:
15
11
2023
accepted:
31
01
2024
medline:
15
2
2024
pubmed:
15
2
2024
entrez:
14
2
2024
Statut:
epublish
Résumé
The area of fractional partial differential equations has recently become prominent for its ability to accurately simulate complex physical events. The search for traveling wave solutions for fractional partial differential equations is a difficult task, which has led to the creation of numerous mathematical approaches to tackle this problem. The primary objective of this research work is to provide optical soliton solutions for the Frictional Kundu-Eckhaus equation (FKEe) by utilizing generalized coefficients. This strategy utilizes the Riccati-Bernoulli sub-ODE technique to effectively discover the most favorable traveling wave solutions for fractional partial differential equations. As a result, it facilitates the extraction of optical solitons and intricate wave solutions. The Backlund transformation is used to methodically construct a sequence of solutions for the specified equations. The study additionally showcases 3D and Density graphics that visually depict chosen solutions for certain parameter selections, hence improving the understanding of the outcomes.
Identifiants
pubmed: 38355895
doi: 10.1038/s41598-024-53330-7
pii: 10.1038/s41598-024-53330-7
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
3688Informations de copyright
© 2024. The Author(s).
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