Abstract
Dynamical theory of solitary wave excitations in spin chains has been studied by a revised Hamiltonian in which the dipole-dipole and biquadratic exchange interactions are taken into account in addition to the Zeeman energy, uniaxial anisotropy and the exchange energy. Using the coherent states method combined with the Holstein-Primakoff bosonic representation of the spin operators, we have derived a nonlinear Schrödinger (NLS)-like equation. Several analytical solitary wave solutions of NLS-type equation have been presented in detail, with discussion of some of their implications for describing the propagation of spin waves. Some of the characteristics of these solitary waves, like their energy and the number of bosonic excitations involved in the solitary wave formation, have also been calculated.
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