The tearing mode in multiple periodic current sheet systems with a hyp
erbolic tangent profile of magnetic shear has been investigated. It is
found that the linear growth rate of the antisymmetric and symmetric
mode tearing instability increases and decreases, respectively, with t
he current sheet separation decreasing, which is similar to the situat
ion with the step function profile of current density [A. Otto and G.
T. Birk, Phys Fluids B 4, 3811 (1992)]. But, the results here also sho
w that the linear growth rate of the antisymmetric mode tearing instab
ility maximizes at certain current sheet separation. The linear growth
of the tearing instability in multiple current sheet systems is not e
nhanced as greatly as has usually been expected. (C) 1998 American Ins
titute of Physics. [S1070-664X(98)00306-1]