Abstract
Abstract Self-consistent motion of an initial perturbation in density, velocity and gravitational potential on the background of a stationary cylindrical configuration of gas with gravitation and pressure in Lagrange variables is studied. A non-linear partial differential equation for the description of the radial motion is obtained. The linearization of this equation is reduced to a Klein-Gordon equation. Its analytical solution with initial condition in the form of a delta-function has a formal oscillation character. A set of parameters which satisfy the linear approximation is studied.
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