Akbulut, A.Kaplan, M.Alqahtani, R.T.Ahmed, W.E.2023-12-152023-12-152023https://hdl.handle.net/20.500.12597/18018The 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/openAccessMathematical physics; symbolic compuation; the complex Hirota-dynamical modelarticle10.3390/math112348512-s2.0-851789548141123