手性磁孤子的发现与调控：Landau-Lifshitz-Gilbert方程的精确解
Discovery and regulation of chiral magnetic solitons: Exact solution from Landau-Lifshitz-Gilbert equation
AI总结：
本文通过几何表示将LLG方程精确映射到可积广义非线性Schrödinger方程，获得手性磁孤子精确时空解，并支持自旋电流调控。
摘要：
Landau-Lifshitz-Gilbert（LLG）方程已成为磁学领域中一个基础且不可或缺的框架。然而，在错综复杂的因素中求解包含完全非线性的LLG方程面临巨大挑战。在此背景下，我们通过几何表示建立了一种精确映射，在LLG方程与一个可积的广义非线性Schrödinger方程之间建立直接联系。这一新映射为获得大量精确时空解提供了途径。值得注意的是，研究发现了精确的手性磁孤子，它们对于有阻尼和无阻尼效应下传播的稳定性与可控性至关重要。我们的表述为长期存在的完全非线性问题提供了精确解，并通过在磁存储应用中注入自旋电流促进实际调控。
英文摘要：
The Landau-Lifshitz-Gilbert (LLG) equation has emerged as a fundamental and indispensable framework within the realm of magnetism. However, solving the LLG equation, encompassing full nonlinearity amidst intricate complexities, presents formidable challenges. In this context, we develop a precise mapping through geometric representation, establishing a direct linkage between the LLG equation and an integrable generalized nonlinear Schrödinger equation. This novel mapping provides accessibility towards acquiring a great number of exact spatiotemporal solutions. Notably, exact chiral magnetic solitons, critical for stability and controllability in propagation with and without damping effects are discovered. Our formulation provides exact solutions for the long-standing fully nonlinear problem, facilitating practical control through spin current injection in magnetic memory applications.
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