Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two higgs particles

Jann Long Chern; Zhi You Chen; Chang Shou Lin

doi:10.1007/s00220-010-1021-z

Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two higgs particles

Jann Long Chern^*
, Zhi You Chen
, Chang Shou Lin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

The existence of topological solutions for the Chern-Simons equation with two Higgs particles has been proved by Lin, Ponce and Yang [16]. However, both the uniqueness problem and the existence of non-topological solutions have been left open. In this paper, we consider the case of one vortex at origin. Among others, we prove the uniqueness of topological solutions and give a complete study of the radial solutions, in particular, the existence of some non-topological solutions.

Original language	English
Pages (from-to)	323-351
Number of pages	29
Journal	Communications in Mathematical Physics
Volume	296
Issue number	2
DOIs	https://doi.org/10.1007/s00220-010-1021-z
Publication status	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-010-1021-z

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title = "Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two higgs particles",

abstract = "The existence of topological solutions for the Chern-Simons equation with two Higgs particles has been proved by Lin, Ponce and Yang [16]. However, both the uniqueness problem and the existence of non-topological solutions have been left open. In this paper, we consider the case of one vortex at origin. Among others, we prove the uniqueness of topological solutions and give a complete study of the radial solutions, in particular, the existence of some non-topological solutions.",

author = "Chern, \{Jann Long\} and Chen, \{Zhi You\} and Lin, \{Chang Shou\}",

note = "Funding Information: Work partially supported by National Science Council of Taiwan.",

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journal = "Communications in Mathematical Physics",

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AU - Chern, Jann Long

AU - Chen, Zhi You

AU - Lin, Chang Shou

N1 - Funding Information: Work partially supported by National Science Council of Taiwan.

PY - 2010

Y1 - 2010

N2 - The existence of topological solutions for the Chern-Simons equation with two Higgs particles has been proved by Lin, Ponce and Yang [16]. However, both the uniqueness problem and the existence of non-topological solutions have been left open. In this paper, we consider the case of one vortex at origin. Among others, we prove the uniqueness of topological solutions and give a complete study of the radial solutions, in particular, the existence of some non-topological solutions.

AB - The existence of topological solutions for the Chern-Simons equation with two Higgs particles has been proved by Lin, Ponce and Yang [16]. However, both the uniqueness problem and the existence of non-topological solutions have been left open. In this paper, we consider the case of one vortex at origin. Among others, we prove the uniqueness of topological solutions and give a complete study of the radial solutions, in particular, the existence of some non-topological solutions.

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DO - 10.1007/s00220-010-1021-z

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Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two higgs particles

Abstract

ASJC Scopus subject areas

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