An Exactly Solvable Case for a Thin Elastic Rod
  We present a new exact solution for the twist of an asymmetric thin elastic rods. The shape of such rods is described by the static Kirchhoff equations. In the case of constant curvatire and torsion the twist of the asymmetric rod represents a soliton lattice. 
Rossen Dandoloff, Georgi G. Grahovski