title: Nonlinear wave propagation in a strongly coupled collisional dusty plasma.
abstract: The propagation of a nonlinear low-frequency mode in a strongly coupled dusty plasma is investigated using a generalized hydrodynamical model. For the well-known longitudinal dust acoustic mode a standard perturbative approach leads to a Korteweg-de Vries (KdV) soliton. The strong viscoelastic effect, however, introduced a nonlinear forcing and a linear damping in the KdV equation. This novel equation is solved analytically to show a competition between nonlinear forcing and dissipative damping. The physical consequence of such a solution is also sketched.
authors.affiliation: Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India.
authors.forename: Samiran
authors.initials: S
authors.lastname: Ghosh
authors.forename: Mithil Ranjan
authors.initials: MR
authors.lastname: Gupta
authors.forename: Nikhil
authors.initials: N
authors.lastname: Chakrabarti
authors.forename: Manis
authors.initials: M
authors.lastname: Chaudhuri