The quantum solitary wave solutions in a one-dimensional ferromagnetic chain is investigated by using theHartree-Fock approach and the multiple-scale method.It is shown that quantum solitary wave solutions can exist in aferromagnetic system with nearest-and next-nearest-neighbor exchange interaction,and at the certain value of the firstBrillouin zone,the solitary wave solution of the Hartree wave function becomes the intrinsic localized mode.
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