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Two‐dimensional drift solitary structures in inhomogeneous magnetized OH ion plasmas with generalized ( r , q ) distributed electrons
Author(s) -
Ali Gule,
Masood W.,
Malik M. Usman,
Ahmad Ali,
Nasir Rubina
Publication year - 2021
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.202000202
Subject(s) - physics , electron , ion , plasma , atomic physics , nonlinear system , space (punctuation) , distribution (mathematics) , distribution function , coupling (piping) , limiting , quantum mechanics , mathematical analysis , materials science , mathematics , philosophy , linguistics , mechanical engineering , engineering , metallurgy
Abstract In this paper, the effect of generalized ( r , q ) distributed electrons on the linear and nonlinear coupling of drift and ion acoustic waves in a nonuniform plasma containing Hydrogen and Oxygen ions is investigated. In the linear regime, it is observed that increasing the percentage of flat‐topped (i.e. r > 0) electrons enhances the frequency of the coupled drift‐ion acoustic waves, whereas the increasing values of the spectral index q mitigates it. In the nonlinear regime, one‐ and two‐dimensional Korteweg de Vries‐like and Kadomtsev‐Petviashvili‐like equations are derived and their solutions are plotted for different ratios of ion number densities and for different values of double spectral indices r and q of the generalized distribution of electrons. It is found that only rarefactive structures exist for two‐dimensional solitons, however, both rarefactive and compressive structures are observed for the one‐dimensional case. The limiting cases of kappa and Maxwellian distributions are also discussed and their comparison with the generalized ( r , q ) distribution is thoroughly investigated. Spatial scales for the formation of rarefactive and compressive solitary structures are also discussed with reference to the changing electron distribution functions. The possible applications of the present study are also spelled out with special reference to space plasmas.