We study the relaxation two-parameter one-dimensional solitons in anti
ferromagnets using the phenomenological theory. Allowing for relaxatio
n terms of a relativistic and exchange nature, we set up a system of e
volution equations for the constants of the motion of a soliton and ca
lculate the corresponding integral curves, which describe the variatio
n of the soliton parameters in the relaxation process. (C) 1997 Americ
an Institute of Physics.