Journal of Shanghai University(Natural Science Edition) ›› 2023, Vol. 29 ›› Issue (1): 175-184.doi: 10.12066/j.issn.1007-2861.2298

• Research Articles • Previous Articles    

Faddeev model in Minkowski space $ R^{{\bf 1\textbf{+}}\textbf{(}{\bf 1}\textbf{+} n\textbf{)}}$

LIU Sijie, LIU Jianli(), SHENG Wancheng   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2021-04-01 Online:2023-02-28 Published:2023-03-28
  • Contact: LIU Jianli E-mail:jlliu@shu.edu.cn

Abstract:

The Faddeev model is used in modeling heavy elementary particles by topological knotted solitons in classical field theory. It is a generalization of the well-known classical nonlinear sigma model of Gell-Mann and Levy. In addition, it is closely related to the celebrated Skyrme model. In this paper, we derive the equation of the Faddeev model in the Minkowski space $R^{1+(1+n)}$, and show that the system enjoys many interesting properties, and provide some exact solutions in special cases.

Key words: quasilinear hyperbolic systems, Faddeev model, exact solutions

CLC Number: