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arXiv · 2610.41470

Finite-energy travelling waves for the easy-plane Landau-Lifshitz equation

Rowan Juneman·Ze Li·Juncheng Wei
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Abstract

For every integer $d\ge2$ and every subsonic speed $c\in(0,1)$, we construct a nonconstant finite-energy travelling wave for the easy-plane Landau-Lifshitz equation on $\mathbb{R}^d$. This addresses the existence problem raised in the numerical work of Papanicolaou and Spathis. The profiles satisfy the travelling-wave equation in the sense of distributions and are smooth in dimension two.

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Rowan Juneman, Ze Li, Juncheng Wei. 2026-10-30. Finite-energy travelling waves for the easy-plane Landau-Lifshitz equation. https://arxiv.org/abs/2610.41470

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