Employing the Dyson-Maleev transformation, the coherent state ansatz a
nd the time-dependent variational principle, we obtain two partial dif
ferential equations of motion from the Hamiltonian in the fee antiferr
omagnet CeAs. By using the multiple scalar method and long-wavelength
approximation, we reduce these equations to an envelope function equat
ion, and we force this function to satisfy the nonlinear Schrodinger e
quation. The single and two soliton bound state solutions are obtained
by using the inverse scattering transformation. For the single and tw
o soliton bound state, the spatial configurations of the spin are give
n. These results show that the nonlinear magnon localization and the t
wo magnon bound state are possible in this system. The possibility of
observing a gap soliton is also discussed.