  In this paper an effective integrable non-linear model describing the
electron spin dynamics in a deformable helical molecule with weak spin-orbit
coupling is presented. Non-linearity arises from the electron-lattice
interaction and it enables the formation of a variety of stable solitons such
as bright solitons, breathers and rogue waves, all of them presenting well
defined spin projection onto the molecule axis. A thorough study of the soliton
solutions is presented and discussed.
