Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach

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dc.contributor.authorMahmood, Ayesha
dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorAbdullah, Farah Aini
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorChrofi, Nejmeddine
dc.date.accessioned2024-02-09T23:11:21Z
dc.date.available2024-02-09T23:11:21Z
dc.date.copyright2023en_US
dc.date.issued2023
dc.description.abstractThe analytical soliton solutions place a lot of value on birefringent fibres. The major goal of this study is to generate novel forms of soliton solutions for the Radhakrishnan-Kundu-Lakshmanan equation, which depicts unstable optical solitons that arise from optical propagations using birefringent fibres. The (presumably new) extended direct algebraic (EDA) technique is used here to extract a large number of solutions for RKLE. It gives soliton solutions up to thirty-seven, which essentially correspond to all soliton families. This method's ability to determine many sorts of solutions through a single process is one of its key advantages. Additionally, it is simple to infer that the technique employed in this study is really straightforward yet one of the quite effective approaches to solving nonlinear partial differential equations so, this novel extended direct algebraic (EDA) technique may be regarded as a comprehensive procedure. The resulting solutions are found to be hyperbolic, periodic, trigonometric, bright and dark, combined bright-dark, and W-shaped soliton, and these solutions are visually represented by means of 2D, 3D, and density plots. The present study can be extended to investigate several other nonlinear systems to understand the physical insights of the optical propagations through birefringent fibre.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipResearchers Supporting Project number (RSP2023R153), King Saud University, Riyadh, Saudi Arabia.en_US
dc.identifier.citationMahmood, A., Srivastava, H. M., Abbas, M., Abdullah, F. A., Mohammed, P. O., Baleanu, D., & Chorfi, N. (2023). Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach. Heliyon, 9(10), e20852. https://doi.org/10.1016/j.heliyon.2023.e20852en_US
dc.identifier.urihttps://doi.org/10.1016/j.heliyon.2023.e20852
dc.identifier.urihttp://hdl.handle.net/1828/15986
dc.language.isoenen_US
dc.publisherHeliyonen_US
dc.subjectRadhakrishnan-Kundu-Lakshmanan equation (RKLE)en_US
dc.subjectextended direct algebraic (EDA) techniqueen_US
dc.subjectoptical solitonsen_US
dc.subjectsoliton solutionsen_US
dc.subjectbirefringent fibresen_US
dc.titleOptical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approachen_US
dc.typeArticleen_US

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