1998/10/09 by Y. Brihaye, Y Brihaye, T. N. Tomaras +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations #Quantum chaos and dynamical systems #hep-th
paper · pdf · doi:10.1088/0951-7715/12/4/307
LaTeX, 14 pages, 3 figures
arxiv created 1998/10/09 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study in a systematic way all static solutions of the Goldstone model in 1 + 1 dimensions with a periodicity condition imposed on the spatial coordinate. The solutions are presented in terms of standard trigonometric functions and of Jacobi elliptic functions. Their stability analysis is carried out, and the complete list of classically stable quasi-topological solitons is given. AMS classification scheme number: 12B90