Abstract
Various forms of rational solitons, breathers, rogue wave, periodic wave and multiwave for Davydov solitons in alpha-helix proteins are described in this paper. We will figure out periodic wave, rogue wave, multiwave, M-shaped solutions, homoclinic breathers, kink cross rational solutions, periodic cross kink, periodic cross rational solitons, generalized breather, Akhmediev breather and Kuznetsov-Ma breather. We will also discuss some interactions between them. At the end, we will provide the graphical representation of our newly discovered solutions.