Aratyn, H.Ferreira, L. A. [UNESP]Zimerman, A. H. [UNESP]2022-04-282022-04-281999-01-01Physical Review Letters, v. 83, n. 9, p. 1723-1726, 1999.1079-71140031-9007http://hdl.handle.net/11449/223826In 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. © 1999 The American Physical Society.1723-1726engArtigo10.1103/PhysRevLett.83.17232-s2.0-0001058465