Madhukalya, B.Das, R.Hosseini, K.Baleanu, D.Salahshour, S.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2025-05-132025-05-1320232349-5103https://doi.org/10.1007/s40819-023-01579-3https://hdl.handle.net/20.500.12416/9739Investigating ion-acoustic disturbances in a magnetized plasma, consisting of relativistic electrons and non-thermal ions, entails a comprehensive study into the nonlinear wave structure. By condensing the fundamental set of fluid equations for the flow variables, a singular equation known as the Sagdeev potential equation is derived using the pseudopotential approach. In this investigation of the magnetized relativistic plasma, we have observed only dip (rarefactive) (N< 1) soliton under both subsonic (M< 1) and supersonic (M> 1) conditions. The occurrence of the soliton depends on the wave velocities in different propagation directions. The magnitude of amplitudes of the relativistic solitons is higher for higher Mach number (M> 1) irrespective of the wave’s propagation direction. Furthermore, the magnitude of amplitudes of the solitary wave is seen to increase near the direction of the magnetic field. © 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited.eninfo:eu-repo/semantics/closedAccessMagnetized Relativistic PlasmaPropagationSolitary WavesSubsonic And SupersonicArticle10.1007/s40819-023-01579-32-s2.0-85171344366