Employing the Holstein-Primakoff transformation, first the spin-Hamilt
onian is transformed into a boson Hamiltonian. Then, using a coherent
state ansatz, a time-dependent variational principle, and the continuu
m approximation, two nonlinear coupled equations are obtained. Finally
, these equations of motion, which describe the dynamics of the system
, are reduced to one nonlinear Schrodinger equation with localized env
elope soliton solutions. Introducing the inverse scattering transforma
tion, single-, two-, and N-soliton solutions are obtained and the soli
tary excitations in the antiferromagnet KCuF3 are investigated.