In presence of a uniform magnetic field for a smoothly varying density prof
ile in a limit of small Atwood numbers, an analytic solution is obtained. T
he spectrum of unstable modes is defined. It is shown that this spectrum is
two-side-bounded. The external magnetic field stabilizes some or all modes
of the spectrum. It was shown that a finite width transition layer undergo
es stratification. The magnetic field makes the stratification smoother. A
velocity shear between the newly formed sublayers takes place. (C) 2000 Ame
rican Institute of Physics. [S1070-664X(00)02601-X].