The gauge equivalence between the modified Landau–Lifshitz equation and the perturbed defocusing nonlinear Schrödinger equation is proved.
Approximate 1-soliton solution to the modified Landau–Lifshitz equation is given.
Soliton perturbation theory of defocusing nonlinear Schrödinger equation is used to construct the first-order approximate 1-soliton solution to the modified Landau-Lifshitz equation.