### 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 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Yang, S. G., Chen, Z. Y., & Chern, J. L. (2017). The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory.

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