Solitary waves for Landau-Lifshitz system augmented with the Chern-Simons gauge

被引:0
|
作者
Jin, Guanghui [1 ]
Huh, Hyungjin [2 ]
Seok, Jinmyoung [3 ]
机构
[1] Yanbian Univ, Dept Math, Yanji 133002, Peoples R China
[2] Chung Ang Univ, Dept Math, Seoul 06974, South Korea
[3] Seoul Natl Univ, Dept Math Educ, Seoul 08826, South Korea
基金
新加坡国家研究基金会;
关键词
Chern-Simons; Landau-Lifshitz; Solitary waves; Variational methods; O(3) SIGMA-MODEL; SCHRODINGER; SOLITONS;
D O I
10.1016/j.jde.2024.07.043
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we propose the Landau-Lifshitz system augmented with Chern-Simons gauge, which can be considered as the Schr & ouml;dinger analog of the Chern-Simons O(3) sigma model. We derive its self-dual equations and provide its N-equivariant static solutions. We also prove the existence of N-equivariant solitary waves for non-self-dual case and study their qualitative properties. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页码:1 / 27
页数:27
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