2008/03/10 by Y. Brihaye, Yves Brihaye, Térence Delsate +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1103/physrevd.78.025014
published as Phys.Rev.D78:025014,2008 · 8 pages, 4 figures
arxiv created 2008/03/10 · openalex publication_date 2008/07/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider nontopological, ``bell-shaped'' localized and regular solutions available in some 1+1-dimensional scalar field theories. Several properties of such solutions are studied, namely, their stability and the occurrence of fermion bound states in the background of a kink and a kink-antikink solution of the sine-Gordon model.