### Abstract

In this paper, a system of semilinear elliptic equations arising from a relativistic self-dual Maxwell-Chern-Simons O(3) sigma model is considered. We reveal the uniqueness aspect of the topological solutions for the model. The uniqueness result is associated with a clear solution structure of the equations of the radially symmetric case. We locate each solution set denoted by a planar diagram.

Original language | English |
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Article number | 071503 |

Journal | Journal of Mathematical Physics |

Volume | 58 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2017 Jul 1 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*58*(7), [071503]. https://doi.org/10.1063/1.4994060

}

*Journal of Mathematical Physics*, vol. 58, no. 7, 071503. https://doi.org/10.1063/1.4994060

**The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory.** / Yang, Sze Guang; Chen, Zhi You; Chern, Jann Long.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory

AU - Yang, Sze Guang

AU - Chen, Zhi You

AU - Chern, Jann Long

PY - 2017/7/1

Y1 - 2017/7/1

N2 - In this paper, a system of semilinear elliptic equations arising from a relativistic self-dual Maxwell-Chern-Simons O(3) sigma model is considered. We reveal the uniqueness aspect of the topological solutions for the model. The uniqueness result is associated with a clear solution structure of the equations of the radially symmetric case. We locate each solution set denoted by a planar diagram.

AB - In this paper, a system of semilinear elliptic equations arising from a relativistic self-dual Maxwell-Chern-Simons O(3) sigma model is considered. We reveal the uniqueness aspect of the topological solutions for the model. The uniqueness result is associated with a clear solution structure of the equations of the radially symmetric case. We locate each solution set denoted by a planar diagram.

UR - http://www.scopus.com/inward/record.url?scp=85024396681&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85024396681&partnerID=8YFLogxK

U2 - 10.1063/1.4994060

DO - 10.1063/1.4994060

M3 - Article

AN - SCOPUS:85024396681

VL - 58

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 7

M1 - 071503

ER -