Nonlinear Evolution of Disturbances in a (1+1)-Dimensional Universe
classification
⚛️ physics.gen-ph
physics.flu-dyn
keywords
densitydimensionaldisturbancesnonlinearsolutionuniverseanalyticalarbitrary
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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.
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