We report continuous exact solutions in α-helix protein energy transfer as Davydov model. Taking into account the fluctuations of polarization of dipoles effects (FPDE), the system is reduced into a set of two nonlinear Schrödinger and Boussinesq equations after continuum approximation. The extended tanh-function method is used to investigate exact solutions for the model. This analysis shows that taking into account FPDE, the system exhibits multisoliton, bright, dark and kink solitons.
Issa, S., Tabi, C. B., Ekobena Fouda, H. P., & Kofané, T. C. (2018). Fluctuations of polarization induce multisolitons in α -helix protein. Nonlinear Dynamics, 91(1), 679–686. https://doi.org/10.1007/s11071-017-3902-6