Nonlinear coupling of acoustic and shear mode in a strongly coupled dusty plasma with a density dependent viscosity

• Published in: Astrophysics and space science Vol. 361; no. 9; pp. 1 - 8
• Main Authors: Garai, S., Janaki, M. S., Chakrabarti, N.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.09.2016; Springer Nature B.V
• Subjects: Astrobiology; Astronomy; Astrophysics; Astrophysics and Astroparticles; Cosmology; Coupling; Density; Dusty plasmas; Invariants; Mathematical models; Nonlinearity; Observations and Techniques; Original Article; Perturbation methods; Physics; Physics and Astronomy; Plasma; Propagation; Space Exploration and Astronautics; Space Sciences (including Extraterrestrial Physics; Viscosity; Reductive perturbation technique; Strongly coupled dusty plasma; Korteweg-de Vries (KdV) equation; Dust acoustic mode; Coupling; Shear mode; Density dependent viscosity
• ISSN: 0004-640X; 1572-946X
• DOI: 10.1007/s10509-016-2890-1

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.