Nonlinear Evolution of Disturbances in a (1+1)-Dimensional Universe

Understand

General exact solution is obtained for the problem of the development of arbitrary disturbances of the density and velocity in a (1+1)-dimensional universe.

• This analytical solution may serve, particularly, as a test for numerical methods.
• For an illustration, the nonlinear distortion of a sinusoidal perturbation of the initial density is calculated.