Solition in the high-order anti-ferromagnetic chain under the influnce of linear magnetic field

On the basis of the double-subattice model of the one-dimensional anti-ferromagnetic chain, this study uses the coherent state ansatz to analyze the influence of the linear magnetic field on the solition in one-dimensional antiferromagnetic chain when its Hamiltonian boson operator is expanded to six items. A nonlinear equation is derived, and with the travelling wave solution method the analytical solution of the equation as well as the related properties of solition is obtained. The results indicate that the introduction of the linear magnetic field can affect the motion state of the solition and change its energy. Additionally, the expansion of the Hamiltonian boson operator to six items can affect the stability, width and peak of the solition.