A note on vortex solutions of Landau–Lifshitz equation

In this short note, by using the ideas of shooting method, we show that there exists no finite energy vortex solution to the Landau–Lifshitz equation without anisotropy for prescribed boundary values. Based on comparisons between the present result and the previous ones, we see that the isotropic terms play an important role in Landau–Lifshitz equation. Copyright © 2009 John Wiley & Sons, Ltd.