### Abstract

In this paper, we consider the self-dual Chern-Simons CP(1) model in the whole plane R^{2}. After reducing to a single equation, we prove the uniqueness of topological multivortex solutions for the model if the ChernSimons coupling parameter is sufficiently large.

Original language | English |
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Pages (from-to) | 191-203 |

Number of pages | 13 |

Journal | Proceedings of the American Mathematical Society |

Volume | 144 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2016 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

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**Topological solutions for the self-dual chern-simons CP(1) model with large chern-simons coupling constant.** / Chen, Zhi-You.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Topological solutions for the self-dual chern-simons CP(1) model with large chern-simons coupling constant

AU - Chen, Zhi-You

PY - 2016/1/1

Y1 - 2016/1/1

N2 - In this paper, we consider the self-dual Chern-Simons CP(1) model in the whole plane R2. After reducing to a single equation, we prove the uniqueness of topological multivortex solutions for the model if the ChernSimons coupling parameter is sufficiently large.

AB - In this paper, we consider the self-dual Chern-Simons CP(1) model in the whole plane R2. After reducing to a single equation, we prove the uniqueness of topological multivortex solutions for the model if the ChernSimons coupling parameter is sufficiently large.

UR - http://www.scopus.com/inward/record.url?scp=84945298460&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84945298460&partnerID=8YFLogxK

U2 - 10.1090/proc/12680

DO - 10.1090/proc/12680

M3 - Article

VL - 144

SP - 191

EP - 203

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -