Browsing by Author "Das, R."

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Citation - WoS: 28
Citation - Scopus: 31
Effect of Ion and Negative Ion Temperatures on Kdv and Mkdv Solitons in a Multicomponent Plasma
(Springer, 2023) Madhukalya, B.; Das, R.; Hosseini, K.; Baleanu, D.; Hincal, E.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The formation of ion-acoustic solitons (IASs) in an unmagnetized plasma with negative ions has been investigated through the KdV equation in both the situations Q'( = m(j)=m(i)= negative to positive ion mass ratio) less and greater than one and the mKdV equation only for Q' > 1. The existence of both KdV and mKdV solitons has been established for alpha (= ion to electron temperature ratio) > beta (= negative ion to electron temperature ratio) and alpha < beta, which is the new outcome of the current investi-gation. Furthermore, the existence of both compres-sive and rarefactive solitons for Q' > 1 and Q'< 1 has been demonstrated. A dispersion capable action. and
Citation - Scopus: 4
Ion-Acoustic Solitons in Magnetized Plasma Under Weak Relativistic Effects on the Electrons
(Springer, 2023) Madhukalya, B.; Das, R.; Hosseini, K.; Baleanu, D.; Salahshour, S.; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
Investigating 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.
Citation - WoS: 4
Citation - Scopus: 6
Small Amplitude Ion-Acoustic Solitary Waves in a Magnetized Ion-Beam Plasma Under the Effect of Ion and Beam Temperatures
(Springer Heidelberg, 2023) Madhukalya, B.; Das, R.; Hosseini, K.; Baleanu, D.; Salahshour, S.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In the present research of magnetized plasmas, both rarefactive and compressive solitons are found to exist, based on the values of certain parameters. It has been shown in the present investigation that inclusion of beam temperature into the plasma is in search of the existence of both slow and fast modes for both the cases Q' < 1 and Q' > 1. Furthermore, it is noteworthy to point out that the ion-acoustic soliton is found to exist for ? = U-d sin?/M = beam velocity/phase velocity = 1 as well.
Citation - WoS: 29
Citation - Scopus: 32
Solitons in Magnetized Plasma With Electron Inertia Under Weakly Relativistic Effect
(Springer, 2023) Das, R.; Hosseini, K.; Baleanu, D.; Salahshour, S.; Kalita, J.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this relativistic consideration, the energy integral unlike others has been derived in a weakly relativistic plasma in terms of Sagdeev potential. Both compressive and rarefactive subsonic solitary waves are found to exist, depending on wave speeds in various directions of propagation. It is found that compressive relativistic solitons have potential depths that are higher than non-relativistic solitons in all directions of propagation, allowing for the presence of denser plasma particles in the potential well. Furthermore, it shows how compressive soliton amplitude grows as the propagation direction gets closer to the magnetic field's direction.