Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero Hopf numbers

Apr, 1999
8 pages
Published in:
  • Phys.Rev.Lett. 83 (1999) 1723-1726
e-Print:
Report number:
  • IFT-P-038-99,
  • UICHEP-TH-99-4

Citations per year

1999200520112017202302468
Abstract:
In this paper we construct explicitly an infinite number of Hopfions (static, soliton solutions with non-zero Hopf topological charges) within the recently proposed 3+1-dimensional, integrable and relativistically invariant field theory. Two integers label the family of Hopfions we have found. Their product is equal to the Hopf charge which provides a lower bound to the soliton's finite energy. The Hopfions are constructed explicitly in terms of the toroidal coordinates and shown to have a form of linked closed vortices.
  • soliton
  • charge: topological
  • integrability