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Nonlinear dynamics of inhomogeneous antiferromagnetic system with Dzyaloshinski–Moriya interactions

Soliton excitation in a one-dimensional antiferromagnet with Dzyaloshinski–Moriya interaction has been studied using the Holstein–Primakoff representation, the coherent-state ansatz and the time-dependent variational principle. The dynamics is found to be governed by a set of coupled nonlinear partial differential equations. Employing the sine–cosine function method with minimal algebra, we analyse the effect of inhomogeneity in terms of soliton under perturbation and it is found that inhomogeneity causes splitting in soliton and hence a disorder in the system.