Nonlinear Self-Modulation in Newtonian Gravity

Details Nonlinear Self-Modulation in Newtonian Gravity Nonlinear Self-Modulation in Newtonian Gravity

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996pthph..95...51f&link_type=abstract

Progress of Theoretical Physics, Vol. 95, No. 1, pp. 51-63.

Physics

1

Scientific paper

We study quasi-nonlinear evolution of the density perturbation in Newtonian gravity. Weak mode-mode coupling in a small range below the Jeans wavelength is considered. In order to extract nonlinear dynamics we utilize a reductive perturbation, which is well known in mechanics and hydrodynamics and improves a naive perturbation. We show that the basic equations for the acoustic wave reduce to a nonlinear Schrödinger equation. It describes a competition between dispersion originated from gravitational attraction and nonlinearity up to cubic order of the amplitude of the acoustic wave. In purely 1-dimensional motion, there exists localized structures as soliton solutions of two distinctive types depending on the wavelength. More interesting is an instability present in 3-dimensional motion. Namely, a progressive wave is unstable under a long-wave perturbation transverse to the direction of progression. It may imply a possible nonlinear growth of the density fluctuation below the Jeans scale.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Self-Modulation in Newtonian Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear Self-Modulation in Newtonian Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Self-Modulation in Newtonian Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1129813