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arxiv: 1001.3709 · v1 · submitted 2010-01-21 · ⚛️ physics.gen-ph · physics.flu-dyn

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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