Artigo
Exact static soliton solutions of (3+1)-dimensional integrable theory with nonzero Hopf numbers
Fecha
1999-08-30Registro en:
Physical Review Letters. College Pk: American Physical Soc, v. 83, n. 9, p. 1723-1726, 1999.
0031-9007
10.1103/PhysRevLett.83.1723
WOS:000082242600006
WOS000082242600006.pdf
8215976645016606
Autor
Univ Illinois
Universidade Estadual Paulista (Unesp)
Resumen
In this paper, we explicitly construct an infinite number of Hopfions (static, soliton solutions with nonzero 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 explicitly constructed in terms of the toroidal coordinates and shown to have a form of linked closed vortices.