Solitons in the peyrard-bishop model of DNA and the renormalization group method

Abstract

We investigate solitons in the Peyrard-Bishop model of a DNA molecule using Renormalization Group methods which provide a systematic way for perturbation analysis. Small amplitude expansion is carried out in both the continuous and discrete limits. We review exact solutions for the continuous model. Further, we discuss the reliability of the solitonic solutions and argue that the envelope should propagate with a group velocity, contrary to previous proposals.