Abstract
In this paper, the gauge equivalence between the modified Landau–Lifshitz equation and the perturbed defocusing nonlinear Schrödinger equation is proved from the perspective of geometry of given curvature condition. By using the gauge equivalence and the soliton perturbation theory of defocusing nonlinear Schrödinger equation, the first-order approximate 1-soliton solution to the modified Landau–Lifshitz equation is given.
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