Oblique Interaction of Dust-ion Acoustic Solitons with Superthermal Electrons in a Magnetized Plasma

Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

“…Similarly, due to the Equations (9) and (10) in the present study, we consider Δ ∝ ε −1/2 and (V − 1) ∝ ε, where V is the normalized phase velocity of the OIIASs, which gives the velocity of the non-linear wave along the ξ direction, and ε is a real small parameter (0< ε <1), which measures the strength of non-linearity and the weakness of the dispersion. Therefore, to obtain the non-linear wave, which is considered to be a one-dimensional simple wave stationary in the moving frame ξ, we utilize the stretched coordinates as [6,30,41,[43][44][45][46][47]…”

Dust ion‐acoustic solitons collision in weakly relativistic plasmas with superthermality‐distributed electrons and positrons: Higher‐order phase shifts

“…[11][12][13][14] In effect, the essential motivation for successive development in the investigation of a dusty plasma is in its wide applications in various scientific fields. [21][22][23][24][25][26][27][28] For example, Chatterjee and Ghosh [22] investigated the interaction of IASs in superthermal plasmas. Furthermore, under the effects of high-energy interaction, the light-charged particles compared to dust particles (such as electrons and positrons) in a plasma medium may earn relativistic energies.…”

“…Now, let us justify our proposed model. It is interesting to notice here that all the mentioned works [18][19][20][21][22][23][24][25][26][27][28] are restricted to derive the KdVEs and the change in the trajectory for small but finite amplitudes of IASs/DIASs after interactions. High-energy particles (i.e., electrons and positrons) produced as a result of stochastic heating processes when the pulsar relativistic wind collides with the ejecta of supernova explosion surrounding the pulsar.…”

“…Therefore, several theoretical investigations have been done, by the extended Poincaré-Lighthill-Kuo method (EPLKM), to examine the collision of ion-acoustic solitons (IASs) in different plasmas. [21][22][23][24][25][26][27][28] For example, Chatterjee and Ghosh [22] investigated the interaction of IASs in superthermal plasmas. They found that the deviation in the trajectory of the IASs becomes fast when the Maxwellian distribution is converted to the non-Maxwellian distribution.…”

“…They illustrated that superthermal electrons as well as positrons and dust grains play an important role in the DIAS structures and their phase shifts after interactions. It is interesting to notice here that all the mentioned works [18][19][20][21][22][23][24][25][26][27][28] are restricted to derive the KdVEs and the change in the trajectory for small but finite amplitudes of IASs/DIASs after interactions. To get better predictions of the reductive perturbation analysis, a simple and adopted method to obtain higher-order (H-O) soliton solutions of KdVEs are given, and hence one can obtain the H-O phase shifts.…”