Compacton anti-compacton pair for hydrogen bonds and rotational waves in DNA dynamics

A generalized saturable nonlinear Schrِdinger equation was derived for the quasi-spin model of DNA that was subjected to the action of external agents such as a protein and a bath of phonons, by using the Generalized Coherent States approach (GCS). The GCS approach was applied for averaging the quasi-spin Hamiltonian for DNA macromolecule proposed by Takeno and Homma. In weakly saturating approximation, several important collectively formed stretching and unfolding traveling structures have been obtained for angle deviations that subsequently made crucial influence in the formation of compacton anti-compacton pairs for the hydrogen bond displacements.