Localized Solutions in a 2 Dimensional Landau-Lifshitz Model
B. Piette, W.J. Zakrzewski

TL;DR
This paper demonstrates the existence of stable, time-dependent solutions in a 2D Landau-Lifshitz model with a constant magnetic field across all topological sectors, including N=0.
Contribution
It provides the first demonstration of stable solutions in all topological sectors of the 2D Landau-Lifshitz model with a constant magnetic field.
Findings
Stable time-dependent solutions exist in all topological sectors.
Solutions include the N=0 sector.
Properties of these solutions are discussed.
Abstract
We demonstrate the existence of stable time dependent solutions of the Landau-Lifshitz model with a constant external magnetic field. We find such solutions in all topological sectors, including N=0. We discuss some of their properties.
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