With employing the Dyson-Maleev transformation and the coherent-state ansatz, two partial different motion equations are obtained from Hamiltonian of antiferromagnet CsFeBr3. By using the method of multiple scales and the long-wavelength approximation, these equations are changed into a nonlinear Schrodinger equation. By applying inverse-scattering transformation, solution of the equation is obtained, solitary excitations in antiferromagnet CsFeBr3 are also investigated.
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