title: Exact time-dependent nonlinear dispersive wave solutions in compressible magnetized plasmas exhibiting collapse.
abstract: Compressional waves in a magnetized plasma of arbitrary resistivity are treated with the lagrangian fluid approach. An exact nonlinear solution with a nontrivial space and time dependence is obtained with boundary conditions as in Harris' current sheet. The solution shows competition among hydrodynamic convection, magnetic field diffusion, and dispersion. This results in a collapse of density and the magnetic field in the absence of dispersion. The dispersion effects arrest the collapse of density but not of the magnetic field. A possible application is in the early stage of magnetic star formation.
authors.affiliation: Saha Institute of Nuclear Physics, 1/AF Bidhannagar Calcutta-700 064, India.
authors.forename: Nikhil
authors.initials: N
authors.lastname: Chakrabarti
authors.forename: Chandan
authors.initials: C
authors.lastname: Maity
authors.forename: Hans
authors.initials: H
authors.lastname: Schamel