Nonlinear periodic waves in a self-gravitating fluid and galaxy formation

Computer Science – Sound

Scientific paper

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Galactic Evolution, Plane Waves, Shock Wave Propagation, Sound Waves, Traveling Waves, Hydrodynamic Equations, Jeans Theory, Nonlinearity

Scientific paper

Exact nonlinear plane periodic traveling acoustic waves with a steady profile are discovered for a Newtonian self-gravitating perfect fluid. This demonstrates that self-gravity as a dispersive force can counterbalance hydrodynamic nonlinearity to produce persistent structures. These periodic waves do not admit a solitary-wave limit. Galactic-scale (mass about 1 trillion solar masses) nonlinear waves can have an amplitude of no more than about 1% only at recombination in a high-density universe, allowing for photon dissipations.

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