具有易平面各向异性的半无限铁磁样品的非线性动力学

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-09-14 DOI:10.1016/j.chaos.2024.115500

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引用次数: 0

摘要

提出了对反向散射问题的修改，以研究在混合边界条件下具有 "易平面 "各向异性的半无限铁磁体的 Landau-Lifshitz 模型框架内的孤子和色散波，这与样品边缘上不同程度的自旋钉销相对应。研究获得了新型孤子，并分析了它们从样品边缘的弹性反射。找到了孤子和波的运动积分的频谱展开。还建立了额外的运动积分，当孤子与样品边缘相互作用时，这些运动积分保证了孤子的真实边界条件。

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Nonlinear dynamics of the semi-infinite ferromagnetic samples with an easy-plane anisotropy

The modification of the inverse scattering problem is proposed to investigate solitons and dispersive waves in the framework of the Landau–Lifshitz model for semi-infinite ferromagnet with an ¡¡easy-plane¿¿ anisotropy under the mixed boundary conditions, corresponding to different degrees of spin pinning on the edge of the sample. New types of solitons are obtained and their elastic reflection from the edge of the sample is analyzed. Spectral expansions of the integrals of motion for solitons and waves are found. Additional integrals of motion are established that guarantee true boundary conditions for solitons, when they interact with the edge of the sample.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.