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Das Dulal Chandra,Das Samiran 한국물리학회 2024 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.84 No.3
Higher-order dust–ion acoustic solitary waves are investigated theoretically for a multicomponent relativistic dusty plasma consisting of nonthermal ions, weakly relativistic electrons and mobile dust particles through reductive perturbation technique by deriving modifed Korteweg–de Vries (mKdV) equation. Amplitudes of relativistic dust–ion acoustic solitary waves are investigated for diferent initial streaming speed of ions, weakly relativistic electrons and dust particles and found that there is non-existence region of soliton for some initial streaming of ions as well as electrons. Interestingly, relativistic electron has a region of critical initial streaming speed at which amplitudes of the solitons are equal for diferent initial streaming of ions whereas for diferent initial streaming of electrons, the amplitudes of solitons become same after a certain value of initial streaming of ions, which is a salient feature of this investigation. It is also found that the amplitudes of the relativistic dust–ion acoustic solitary waves increase concavely with the increase in dust charges for smaller values of initial streaming of dust particles, whereas the growth of the same is concave for higher initial streaming of dust particles. The width of the relativistic dust–ion acoustic solitary wave is also investigated for diferent initial streaming of plasma particles.
Das Samiran,Das Dulal Chandra 한국물리학회 2023 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.83 No.4
Non-linear propagation of dust ion-acoustic (DIA) solitary waves in a multi-component plasma consisting of ions, Cairn’s distributed electrons and immobile dust has been investigated theoretically. Reductive Perturbation Technique (RPT) is used to derive Korteweg–de Vries (KdV) and modifed Korteweg–de Vries (mKdV) equations. Both compressive as well as rarefactive solitons (compressive in most of the situations) and only compressive mKdV solitons are found to exist for this plasma. Many interesting facts on amplitude as well as width of solitons are established by comparing KdV and mKdV solitons under the same set of diferent plasma parameters. The investigation is being done in two diferent modes and found that the non-thermal parameter (β) and the number of dust charge contained in a immobile dust particle (Zd) plays very important role in the formation of both KdV and mKdV solitons.