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

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초록

In this paper, we propose the Landau-Lifshitz system augmented with Chern-Simons gauge, which can be considered as the Schrödinger 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. © 2024 Elsevier Inc.

키워드

Chern-SimonsLandau-LifshitzSolitary wavesVariational methodsO(3) SIGMA-MODELSCHRODINGERSOLITONS
제목
Solitary waves for Landau-Lifshitz system augmented with the Chern-Simons gauge
저자
Jin, GuanghuiHuh, HyungjinSeok, Jinmyoung
DOI
10.1016/j.jde.2024.07.043
발행일
2024-12
유형
Article
저널명
Journal of Differential Equations
411
페이지
1 ~ 27