Albares Vicente, PazDíaz García, ElenaCerveró Santiago, José MaríaDomínguez-Adame Acosta, FranciscoDíez Fernández, EnriqueGarcía Estévez, Pilar2023-06-172023-06-172018-02-082470-004510.1103/PhysRevE.97.022210https://hdl.handle.net/20.500.14352/11984©2018 American Physical Society The authors thank R. Gutierrez for helpful discussions. This research has been supported by MINECO (Grants No. MAT2013-46308 and No. MAT2016-75955) and Junta de Castilla y Leon (Grant No. SA045U16 and P. Albares' Ph.D. Fellowship).We study an effective integrable nonlinear model describing an electron moving along the axis of a deformable helical molecule. The helical conformation of dipoles in the molecular backbone induces an unconventional Rashba-like interaction that couples the electron spin with its linear momentum. In addition, a focusing nonlinearity arises from the electron-lattice interaction, enabling the formation of a variety of stable solitons such as bright solitons, breathers, and rogue waves. A thorough study of the soliton solutions for both focusing and defocusing nonlinear interaction is presented and discussed.engjournal articlehttp://dx.doi.org/10.1103/PhysRevE.97.022210https://journals.aps.org/open access538.9Electron transmissionDnaEquationBacteriorhodopsinDynamicsChargePhysicsFluids & plasmasMathematicalFísica de materialesFísica del estado sólido2211 Física del Estado Sólido