Document Type : Original Article
Authors
1 Department of Mathematics, Arya Vidyapeeth College, Guwahati-781016, Assam, India
2 Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India
3 Department of Mathematics, Near East University TRNC, Mersin 10, Nicosia 99138, Turkey
4 Faculty of Art and Science, University of Kyrenia, TRNC, Mersin 10, Kyrenia 99320, Turkey
Abstract
The existence of both fast (compressive) and slow (rarefactive) solitons on the dust-ion-acoustic waves (DIAWs) is investigated considering quantum hydrodynamic (QHD) model with a three-components quantum dusty plasma and relativistic effects using the Korteweg–de Vries (KdV) equation. The impact of different plasma parameters like quantum diffraction parameter , ion to electron Fermi temperature ratio , dust concentration , and the relativistic factor is also discussed. The relativistic effect demonstrates higher amplitude of the solitons than the relativistic effect. From the results, dispersive property of quantum dusty plasma is strongly related to the quantum parameter. Additionally, it is noticed that the ranges of quantum parameter for the fast and slow modes, respectively, are significantly impacted by the dust concentration. Applications for the plasma model, which has inertialess electrons, very negatively charged dust grains, and ultrarelativistic positive ions, include fusion research and astrophysics.
Keywords
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