Stability of the well-known Walker propagating domain wall (DW) solution of the Landau-Lifshitz-Gilbert equation is analytically investigated. Surprisingly, the Walker's rigid body propagating DW mode is not stable against the spin wave/wavepacket emission. In the low field region only stern spin waves are emitted while both stern and bow waves are generated under high fields. In a high enough field, but below the Walker breakdown field, the Walker solution could be convective/absolute unstable if the transverse magnetic anisotropy is larger than a critical value, corresponding to a significant modification of the DW profile and DW propagating speed.
@article{arxiv.1304.2439,
title = {Instability of Walker Propagating Domain Wall in Magnetic Nanowires},
author = {B. Hu and X. R. Wang},
journal= {arXiv preprint arXiv:1304.2439},
year = {2015}
}