Abstract
The nonlinear propagation of low frequency waves, in a collisionless, strongly coupled dusty plasma (SCDP) with a density dependent viscosity, has been studied with a proper Galilean invariant generalized hydrodynamic (GH) model. The well known reductive perturbation technique (RPT) has been employed in obtaining the solutions of the longitudinal and transverse perturbations. It has been found that the nonlinear propagation of the acoustic perturbations govern with the modified Korteweg-de Vries (KdV) equation and are decoupled from the sheared fluctuations. In the regions, where transversal gradients of the flow exists, coupling between the longitudinal and transverse perturbations occurs due to convective nonlinearity which is true for the homogeneous case also. The results, obtained here, can have relative significance to astrophysical context as well as in laboratory plasmas.
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Acknowledgements
SG would like to thank Prof. Samiran Ghosh (Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata 700 009, India) for making invaluable comments for the betterment of this manuscript. SG would also like to thank the anonymous reviewer for his/her careful reading of the manuscript and for making many insightful comments and suggestions towards the betterment of this theoretical work.
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Garai, S., Janaki, M.S. & Chakrabarti, N. Nonlinear coupling of acoustic and shear mode in a strongly coupled dusty plasma with a density dependent viscosity. Astrophys Space Sci 361, 294 (2016). https://doi.org/10.1007/s10509-016-2890-1
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DOI: https://doi.org/10.1007/s10509-016-2890-1