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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 411卷

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.

引用

页码：1 / 27

页数：27

共 22 条

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