Relativistic effect on the dust-acoustic KdV multi-soliton and forced KdV-soliton structure in anisotropic self-gravitating dusty plasma
Article
Bhuyan, MS, Imon, U, Alam, MS. (2025). Relativistic effect on the dust-acoustic KdV multi-soliton and forced KdV-soliton structure in anisotropic self-gravitating dusty plasma
. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 87(8), 984-1001. 10.1007/s40042-025-01447-x
Bhuyan, MS, Imon, U, Alam, MS. (2025). Relativistic effect on the dust-acoustic KdV multi-soliton and forced KdV-soliton structure in anisotropic self-gravitating dusty plasma
. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 87(8), 984-1001. 10.1007/s40042-025-01447-x
The relativistic effect on the fundamental properties of the dust-acoustic waves (DAWs) is investigated in a collisionless, unmagnetized, anisotropic, self-gravitating, dusty plasma containing electron-depleted nonextensive ions and inertially warmed, positively and negatively charged dust grains. For this purpose, a Korteweg–de Vries (KdV) as well as a forced KdV (FKdV) equation are derived employing the well-known reductive perturbation method. The structures of single-, double-, and triple-solitons are studied due to the impact of concerned parameters. The effects of external periodic force and angular frequency on the structure of KdV-soliton are also examined. The phase velocity of the DAWs decreases with the rising values of the entropy index and the relativistic streaming factor, whereas it increases with the growing values of the mass ratio of the negative to positive dust grains and the gravitational parameter. The amplitude of the DAWs decreases with the increasing effects of the entropic index and the dust pressure. When the entropic index and gravitational parameter values are small, the amplitude decreases by a significant amount. The impacts of the relevant factors on the structure of the hump-shaped compressive and dip-shaped rarefactive single-, double-, and triple-KdV-solitons, as well as FKdV-solitons, are significant. The entropic index is crucial to the structure of the KdV- and FKdV-solitons.
