The Goldstone model static solutions on S-1

Authors
Brihaye, Y Tomaras, TN
Citation
Y. Brihaye et Tn. Tomaras, The Goldstone model static solutions on S-1, NONLINEARIT, 12(4), 1999, pp. 867-876
Citations number
11
Categorie Soggetti
Mathematics
Journal title
NONLINEARITY
ISSN journal
09517715 → ACNP
Volume
12
Issue
4
Year of publication
1999
Pages
867 - 876
Database
ISI
SICI code
0951-7715(199907)12:4<867:TGMSSO>2.0.ZU;2-S
Abstract
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 coord inate. The solutions are presented in terms of standard trigonometric funct ions and of Jacobi elliptic functions. Their stability analysis is carried out, and the complete list of classically stable quasi-topological solitons is given.