Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...194....3k&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 194, no. 1-2, April 1988, p. 3-10.
Astronomy and Astrophysics
Astrophysics
1
Cosmic Dust, Dark Matter, Gravitational Fields, Inverse Scattering, Ion Acoustic Waves, Solitary Waves, Korteweg-Devries Equation, Liouville Equations, Nonlinear Evolution Equations
Scientific paper
It is shown that the type I Kadomtsev-Petviashvili equation governs the evolution of certain weakly nonlinear fluctuations on a static or very slowly varying cosmological background. The model includes a mixture of nonrelativistic collisionless matter at nonzero temperature together with a smaller amount of zero-temperature dust. It is noted that the two components are coupled only by gravitational forces. For wavelengths much longer than the Jeans length scale, the mixture supports a weakly damped and weakly dispersive acoustic wave.
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