  We identify that for a broad range of parameters a variant of the soliton
solution of the one-dimensional non-linear Schr\"{odinger} equation, the {\it
breather}, is distinct when one studies the associated space curve (or soliton
surface), which in this case is knotted. The signi ficance of these solutions
with such a hidden non-trivial topological element is pre-eminent on two
counts: it is a one-dimensional model, and the no nlinear Schr\"{o}dinger
equation is well known as a model for a variety of physical systems.
