1997/09/26 by A. E. Kudryavtsev, A. Kudryavtsev, Bernard Piette +2 · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum chaos and dynamical systems #Topological Materials and Phenomena #hep-th
paper · pdf · doi:10.1088/0951-7715/11/4/002
published as Nonlinearity11:783-795,1998 · plain tex : 15 pages, 21 Postscript figures, uses epsf.tex
arxiv created 1997/09/26 · openalex publication_date 1998/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We study classical solutions of the vector O (3) sigma model in (2 + 1) dimensions, spontaneously broken to . The model possesses Skyrmion-type solutions as well as stable domain walls which connect different vacua. We show that different types of waves can propagate on the wall, including waves carrying a topological charge. The domain wall can also absorb Skyrmions and, under appropriate initial conditions, it is possible to emit a Skyrmion from the wall.