The existence of multi-vortices for a generalized self-dual Chern–Simons model

The existence of multi-vortices for a generalized self-dual Chern–Simons model
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广义自对偶 Chern-Simons 模型的多涡存在性

DOI:
10.1088/0951-7715/26/3/805
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发表时间:
2011
期刊:
影响因子:
1.7
通讯作者:
Xiaosen Han
Xiaosen Han
中科院分区:
数学2区
文献类型:
--
作者:
Xiaosen Han

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In this paper we establish the existence of multi-vortices for a generalized self-dual Chern–Simons model. Doubly periodic vortices, and topological and non-topological vortex solutions are constructed for this model. For the existence of doubly periodic vortex solutions, we establish an explicitly necessary and sufficient condition. It is difficult to find topological multi-vortex solutions due to the non-canonical structure of the equations. We overcome this difficulty by constructing a suitable sub-solution for the reduced equation. This technique maybe applied to the other problems with similar structures. For the existence of non-topological solutions we use a shooting argument.
DOI: 10.1103/physreva.70.043610
发表时间: 2004-02
期刊: Physical Review A
影响因子: 2.9
作者:
Y. Kawaguchi;T. Ohmi
通讯作者: Y. Kawaguchi;T. Ohmi
DOI: --
发表时间: 2020
期刊:
影响因子: --
作者:
Kubo Tomoya;Matsuoka Eiich;Kotegawa Hisashi;Tou Hideki;Nakamura Ai;Aoki Dai;Harima;T. Hisamoto
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