Three-dimensional solitons in ferrites and their stability

B. A. Ivanov; A. L. Sukstanskii

doi:10.1016/0038-1098(84)90321-1

Three-dimensional solitons in ferrites and their stability

B. A. Ivanov, A. L. Sukstanskii

Biomedical Research Lab

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26 Scopus citations

Abstract

The study is made of soliton solution of nonlinear equations describing dynamics of some magnets as well as the field theory models. Three-dimensional solitons are analysed to which non-uniform magnetization precession corresponds. Necessary and sufficient conditions for soliton stability according to Lyapunov are obtained. The soliton without nodes is proved to be stable over a wide range of the precission frequencies and unstable beyond this range. Solitons with nodes are unstable at all frequencies.

Original language	English
Pages (from-to)	523-527
Number of pages	5
Journal	Solid State Communications
Volume	50
Issue number	6
DOIs	https://doi.org/10.1016/0038-1098(84)90321-1
State	Published - May 1984

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title = "Three-dimensional solitons in ferrites and their stability",

abstract = "The study is made of soliton solution of nonlinear equations describing dynamics of some magnets as well as the field theory models. Three-dimensional solitons are analysed to which non-uniform magnetization precession corresponds. Necessary and sufficient conditions for soliton stability according to Lyapunov are obtained. The soliton without nodes is proved to be stable over a wide range of the precission frequencies and unstable beyond this range. Solitons with nodes are unstable at all frequencies.",

author = "Ivanov, {B. A.} and Sukstanskii, {A. L.}",

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T1 - Three-dimensional solitons in ferrites and their stability

AU - Ivanov, B. A.

AU - Sukstanskii, A. L.

PY - 1984/5

Y1 - 1984/5

N2 - The study is made of soliton solution of nonlinear equations describing dynamics of some magnets as well as the field theory models. Three-dimensional solitons are analysed to which non-uniform magnetization precession corresponds. Necessary and sufficient conditions for soliton stability according to Lyapunov are obtained. The soliton without nodes is proved to be stable over a wide range of the precission frequencies and unstable beyond this range. Solitons with nodes are unstable at all frequencies.

AB - The study is made of soliton solution of nonlinear equations describing dynamics of some magnets as well as the field theory models. Three-dimensional solitons are analysed to which non-uniform magnetization precession corresponds. Necessary and sufficient conditions for soliton stability according to Lyapunov are obtained. The soliton without nodes is proved to be stable over a wide range of the precission frequencies and unstable beyond this range. Solitons with nodes are unstable at all frequencies.

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U2 - 10.1016/0038-1098(84)90321-1

DO - 10.1016/0038-1098(84)90321-1

M3 - Article

AN - SCOPUS:0021425243

VL - 50

SP - 523

EP - 527

JO - Solid State Communications

JF - Solid State Communications

SN - 0038-1098

IS - 6

ER -

Three-dimensional solitons in ferrites and their stability

Abstract

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