Knot soliton solutions for the one-dimensional non-linear Schrödinger equation

We identify that a breather soliton solution for the one-dimensional non-linear Schrodinger equation, presented here, is characteristically distinct when one studies the associated space curve, specifically that this space curve is knotted. The significance of these solutions with such a non-trivial geometrical element is pre-eminent on two counts: it is a one-dimensional model wherein structures with such non-trivial geometry are unexpected, and that the nonlinear Schrodinger equation is well known to model a plethora of physical systems.