DNA Nonlinear Dynamics With Non-classic Solitary Waves

The nonlinear Schr̈odinger equation was obtained by using the method of generalized coherent states (GCS) applied to the quasi spin configuration of the DNA lattice model. In this model the DNA macromolecule is subjected to the influence of thermal phonons. By analyzing the nonlinear saturated Schr̈odinger equation, several non classical soliton-like solutions describing the hydrogen bonds are obtained. Among them there is a couple of compact-anticompact soliton that evolves as a healing mechanism for repairing the eventual open states of the hydrogen bonds.

nonclassical solutions, generalized coherent states, DNA, compactons