Solitons in the Two-Dimensional Antiferromagnetic Heisenberg Model**The project supported in part by National Natural Science Foundation of China

Abstract

An effective Hamiltonian of the two-dimensional antiferromagnetic Heisenberg model is derived by using the Holstein–Primakoff transformation. Three nonlinear coupled partial equations of motion are obtained. In the long-wavelength approximation, these equations, are reduced to the envelope function equations by the method of multiple scales. The amplitude functions satisfy the nonlinear Schrödinger equation. Introducing an inverse scattering transformation, the single-, two- and multi-soliton solutions in the two-dimensional antiferromagnetic Heisenberg model are investigated.