  The equilibration of a finite Bose system is modelled using a gradient
expansion of the collision integral that leads to a nonlinear transport
equation. For constant transport coefficients, it is solved in closed form
through a nonlinear transformation. Using schematic initial conditions, the
exact solution and the equilibration time are derived and compared to the
corresponding case for fermions. Applications to the equilibration of the gluon
system created initially in relativistic heavy-ion collisions, and to cold
quantum gases are envisaged.
