Akbulut, AKaplan, MAlqahtani, RTAhmed, WE2023-12-202023-12-202023.01.01https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=dspace_ku&SrcAuth=WosAPI&KeyUT=WOS:001116801900001&DestLinkType=FullRecord&DestApp=WOShttps://hdl.handle.net/20.500.12597/18040The 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.the complex Hirota-dynamical modelsymbolic compuationmathematical physicsArticle10.3390/math1123485100111680190000111232227-7390