Nonlinear Schrödinger equation on a closed 3D elastica knot

Alain J. Brizard

An elastica knot is defined in terms of the Frenet-Serret curvature $\hat{I}º(s,t)$ as a function of the arclength $s$ along the spatial curve $\mathbf{r}(s,t)$ at a fixed time $t$, which i…