Stability in the energy space for chains of solitons of the Landau-Lifshitz equation

作者：de Laire Andre; Gravejat Philippe^*

来源：Journal of Differential Equations, 2015, 258(1): 1-80.

DOI：10.1016/j.jde.2014.09.003

We prove the orbital stability of sums of solitons for the one-dimensional Landau-Lifshitz equation with an easy-plane anisotropy, under the assumptions that the (non-zero) speeds of the solitons are different, and that their initial positions are sufficiently separated and ordered according to their speeds.

• 出版日期2015-1-1