Families of analytical solutions are found for symmetric and antisymmetric
solitons in the dual-core system with the Kerr nonlinearity and PT-balanced
gain and loss. The crucial issue is stability of the solitons. A stability
region is obtained in an analytical form, and verified by simulations, for the
PT-symmetric solitons. For the antisymmetric ones, the stability border is
found in a numerical form. Moving solitons of both types collide elastically.
The two soliton species merge into one in the "supersymmetric" case, with equal
coefficients of the gain, loss and inter-core coupling. These solitons feature
a subexponential instability, which may be suppressed by periodic switching
("management").Comment: Optics Letters 2011 (in press
