2007/10/31 by C. Adam, J. Sánchez-Guillén, J. Sanchez-Guillen +2 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1016/j.physletb.2007.11.089
published as Phys.Lett.B659:761-767,2008
arxiv created 2007/10/31 · openalex publication_date 2007/12/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
Recently it has been shown that there exists a sector within the Faddeev–Niemi model for which the equations of motion may be reduced to first order equations. However, no solutions to that sector have been given. It is not even known whether this sector contains topologically nontrivial solutions, at all. Here, we show that two models with analytically known Hopf solitons, namely the Nicole and the Aratyn–Ferreira–Zimerman models, possess sectors which can be integrated to first order partial differential equations. The main result is that these sectors are topologically nontrivial. In fact, all analytically known hopfions belong to them.