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Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire

We study the dynamics of a domain wall under the influence of applied magnetic fields in a one-dimensional ferromagnetic nanowire, governed by the Landau--Lifshitz--Gilbert equation. Existence of travelling-wave solutions close to two known static solutions is proven using implicit-function-theorem-type arguments.

preprint2016arXivOpen access
Ross G. LundJ. M. RobbinsValeriy Slastikov
math.APmath-phmath.MP
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Ross G. LundJ. M. RobbinsValeriy Slastikov

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