Kaplan, MelikeAlqahtani, Rubayyi T.Ahmed, W. Eltayeb2024-11-042024-11-042023-12-01https://doi.org/10.3390/math11234851https://hdl.handle.net/11452/47406The complex Hirota-dynamical Model (HDM) finds multifarious applications in fields such as plasma physics, fusion energy exploration, astrophysical investigations, and space studies. This study utilizes several soliton-type solutions to HDM via the modified simple equation and generalized and modified Kudryashov approaches. Modulation instability (MI) analysis is investigated. We also offer visual representations for the HDM.eninfo:eu-repo/semantics/closedAccessOptical solitonsEquationDispersionThe complex hirota-dynamical modelSymbolic compuationMathematical physicsScience & technologyPhysical sciencesMathematicsArticle001116801900001112310.3390/math11234851