Abstract:
In addition to the existence of the staggered Dzyaloshinskii-Moriya (DM) interaction in the antiferromagnetic magnets, there may be a uniform DM interaction. An one-dimensional antiferromagnetic chain with uniform DM interaction is studied. When 〖JB1|〗D〖JB1|〗 (the size of the DM interaction) is less than J (exchange interaction parameter of the nearest neighbor lattice sites), by using double sub-lattice model, Jacobi elliptic function solutions and soliton solutions are obtained through the Holstain-Primakoff transformation and multi-scale method. The influence of DM interaction on Jacobi elliptic function solutions and soliton solutions is discussed.The results show that DM interaction has an important effect on soliton's peak power, width and energy, but the effect is very complex. The increase and decrease of peak power, width and energy are not consistent with that of D.