title: Nonlinear wave propagation in a gravitating quantum fluid.
abstract: The nonlinear wave propagation in a Bose-Einstein gravitationally condensate gas is investigated using a gravitating quantum fluid model. The small-amplitude dynamics is shown to be governed by a Korteweg-de Vries equation with a nonlocal term. The quantum effect provides the necessary dispersion, and the gravitational effect is responsible for the nonlocal term. This novel equation is solved analytically. The implications of such a soliton-like solution are outlined.
authors.affiliation: Department of Applied Mathematics, University of Calcutta 92, Acharya Prafulla Chandra Road, Kolkata 700 009, India. sran−g@yahoo.com
authors.forename: Samiran
authors.initials: S
authors.lastname: Ghosh
authors.forename: Nikhil
authors.initials: N
authors.lastname: Chakrabarti